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Visvesvaraya Technological University, Belagavi: VTU-ETR Seat No.: A

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VTU-ETR Seat No.

Question Paper Version : A

Visvesvaraya Technological University, Belagavi


Eligibility Test for Research (VTU-ETR) Programmes
Ph.D./M.S. (Research) August – 2023
Physics
Time: 3 hrs. Max. Marks: 100

INSTRUCTIONS TO THE CANDIDATES


1. Ensure that the question paper booklet issued to you is of your opted discipline.
2. If your name, ETR number, OMR No., branch and branch code are not already printed on
the OMR answer sheet, write them in clear handwriting in the space provided.
3. The question paper has 100 multiple choice questions. Each question carries one mark.
4. All the questions are compulsory.
5. Missing data, if any, may be suitably assumed.
6. There shall be no negative marking for wrong answers.
7. The examinees shall select the response which they want to mark/indicate on the response
sheet and shade/darken/blacken completely the inside area of the corresponding checkbox
bubble of circular or oval shape.
8. Candidates should use black ball point pen to shade the checkbox bubble so that it is fully
dark and the computer can detect without fail. Shading should be limited to the checkbox
bubble only.
9. Shading of multiple checkbox bubbles shall be treated as invalid answer.
10. Partial or incomplete shading/darkening of the bubble be avoided.
11. Use of whiteners/correction fluid to change the shaded/filled checkbox bubble to fill another
is prohibited.
12. Erasing of filled checkbox bubble/s to fill another is prohibited.
13. Any type of writing, scribbling etc., on the question paper and ticking the response of a
question/s are prohibited. Violation of this condition shall lead to disciplinary action like
debar from the examination. Also, the OMR answer sheet shall not be considered for
evaluation process.
14. Only non-programmable scientific calculator is permitted. Violation of this condition shall
lead to disciplinary action like debar from the examination. Also, the OMR answer sheet
shall not be considered for evaluation process.
15. Folding/crushing/mutilating of OMR sheet is not permitted.
16. Handover the OMR sheet to the Room Invigilator while leaving the examination hall.

PART – I
PART – I
(Research Methodology)
[50 Marks]

1. What is the significance of research?


a) Gathering information b) Solving problems
c) Formulating theories d) Analyzing data

2. Which of the following best defines research?


a) Systematic investigation b) A random experiment
c) A personal opinion d) An intuitive guess

3. Which of the following is NOT an objective of research?


a) Exploring new phenomena b) Developing new theories
c) Testing pre conceived notions d) Proving personal beliefs.

4. What is the difference between research methods and research methodology?


a) Methods are practical techniques, while methodology is the theoretical framework.
b) Methods focus on data analysis, while methodology focuses on data collection.
c) Methods are used in natural sciences, while methodology is used in social sciences.
d) Methods are objective, while methodology is subjective.

5. What are the criteria of good research?


a) Replicability, Objectivity and Reliability
b) Creativity, Subjectivity and Originality
c) Simplicity, brevity, and clarity
d) Validity, Complexity and comprehensiveness

6. What is the purpose of reviewing the literature in research?


a) To validate the researcher’s hypothesis b) To identify gaps in existing knowledge
c) To find short cuts for conducting research d) To plagiarize ideas from previous studies.

7. What is the role of a theoretical framework in research?


a) It provides a structure for organizing the literature review.
b) It establishes the research objectives and hypotheses.
c) It guides the data collection and analysis process.
d) It helps in selecting the appropriate research design.

8. What is the meaning of research design?


a) The overall plan for conducting a research study.
b) The specific research method used in data collection.
c) The Statistical analysis technique used in research.
d) The process of formulating research questions.

Ver-A : PY 1 of 11
9. Which of the following is an important principle of experimental designs?
a) Random sampling of participants b) Use of control groups
c) Longitudinal data collection d) Qualitative data.

10. What is the need for research design?


a) It helps in determining the sample size
b) It ensures the accuracy of data analysis.
c) It provides a structure for conducting research
d) It minimizes the ethical concerns in research.

11. What is the difference between a sample survey and a census survey?
a) Sample survey includes the entire population, while census survey includes a subset.
b) Sample survey is conducted using questionnaires while census surveys use interviews.
c) Sample survey is less accurate than census survey.
d) Sample survey is more expensive than census survey.

12. What are the types of sampling designs?


a) Probability sampling and non probability sampling.
b) Cluster sampling and convenience sampling.
c) Snowball sampling and purposive sampling.
d) Quota sampling and stratified sampling.

13. Which of the following is NOT a classification of measurement scales?


a) Normal Scale b) Ordinal scale c) Interval scale d) Hierarchical scale

14. What are the sources of error in measurement?


a) Systematic error and random error b) Measurement bias and sampling error
c) Observer bias and response bias d) Internal validity and external validity.

15. What is the purpose of scaling in research?


a) To measure the central tendency of data
b) To determine the reliability of measurements
c) To assign numbers to represent characteristics
d) To calculate statistical significance.

16. What is the process of data preparation in research?


a) Collecting data from primary sources. b) Analyzing data using statistical software.
c) Cleaning and organizing data for analysis. d) Conducting data visualization techniques.

17. Which of the following is NOT a problem in the data preparation process?
a) Handling missing values b) Dealing with outliers
c) Ensuring data privacy d) Checking data accuracy.

Ver-A : PY 2 of 11
18. What are the measures of central tendency?
a) Mean, Median and mode
b) Variance, standard deviation and range
c) Skewness, Kurtosis and correlation
d) Probability, confidence interval and hypothesis testing.

19. What do measures of dispersion indicate in research?


a) The shape of the data distribution b) The spread or variability of the data
c) The central value of the data set d) The relationship between variables.

20. What is the purpose of descriptive statistics?


a) To summarize and describe data b) To test hypotheses and make inferences
c) To establish causal relationships d) To predict future outcomes.

21. What is the difference between a parameter and a statistic?


a) Parameters describe populations, while statistics describe samples.
b) Parameters are qualitative, while statistics are quantitative.
c) Parameters are based on theory, while statistics are based on observation.
d) Parameters are mode reliable than statistics.

22. What is the central limit theorem?


a) It states that the sample mean approaches the population mean as the sample size increases.
b) It explains the relationship between the mean and standard deviation of a sample.
c) It ensures that the sampling distribution is normally distributed.
d) It allows for the estimation of population parameters based on sample statistics.

23. What is the standard error?


a) The standard deviation of the population.
b) The standard deviation of the sample.
c) The measure of sampling error.
d) The measure of non-sampling error.

24. What is the purpose of finite population correction?


a) To adjust for sampling bias.
b) To account for non-response error.
c) To correct for measurement error.
d) To adjust the standard error for small populations.

25. What does statistical inference involve?


a) Making predictions about the future based on past data.
b) Estimating population parameters from sample statistics.
c) Analyzing the relationship between variables.
d) Describing and summarizing data.

26. If terms such as, ‘positive’, ‘negative’, ‘more than’, ‘less than’ etc are used to make a statement,
then such a hypothesis is called…..
a) Relational hypotheses b) Causal hypothesis
c) Research hypothesis d) Directional hypothesis.

Ver-A : PY 3 of 11
27. The tests of significance or test statistic are classified into…..
a) Parametric test
b) Non parametric test
c) Both parametric and nonparametric tests
d) None of these.

28. A two-tailed test rejects the null hypothesis if the sample mean is significantly____ than the
hypothesized value of the mean of the population.
a) Higher b) Lower c) Higher or lower d) None of these

29. _________ is a way to test for comparing two related samples, involving small values of ‘n’ that
does not require the variances of the two populations to be equal.
a) Z-test b) Paired t – test c) f-test d) None of these

30. As a test of independence, X2 test enables us to explain _______


a) Whether or not two attributes are associated b) The fit is considered to be a good one
c) Whether test is significant d) None of these

31. The ANOVA technique is important in the context of all those situations where all want to
compare ______
a) Two population b) More than two populations
c) Less than two populations d) Single population.

32. Analysis of variance in which only ______ is used to analyze the difference between more than
two population means is called one way anova.
a) Two criterion (variable)
b) One criterion (variable)
c) Both two criterion (variable) and one criterion (variable)
d) None of these.

33. The basic principle of ANOVA is to test for differences among the ______ by examining the
______ within each of these samples, relative to the amount of variation between the samples.
a) Means of the populations and amount of variation
b) Estimation of the population and amount of variation
c) Means of the samples and amount of variation
d) Samples and amount of variation.

34. While applying the ANOVA techniques, the influence the uncontrolled variable is usually
removed by _______
a) Multiple regression method b) Simple linear regression method
c) One way ANOVA d) All of these

35. What are the other assumptions in ANOVA ______


a) Various treatment groups are selected at random from the population.
b) The groups are homogeneous in variability.
c) The regression is linear and is from group to group.
d) All of these.

Ver-A : PY 4 of 11
36. Regression analysis helps to determine ______ to measure the variability or spread of values of
a dependent variable with respect to the regression line.
a) Independent value b) Dependent value
c) Linear regression d) Standard error of estimate.

37. Regression models are used for several purposes, including the following_______
a) Data description
b) Parameter Estimation
c) Linear regression and standard error of estimate
d) All of these.

38. Factor analysis is by for the most often used _______ of research studies, specially pertaining to
social and behavioural sciences.
a) Multi functional technique b) Multi lateral technique
c) Multi linear d) Multivariate technique.

39. _______ , in the context of factor analysis, is something like staining a microscope slide.
a) Flipping b) Factoring
c) Rotation d) Synchronizing.

40. In _______, the correlations are computed between pairs of respondents instead of pairs of
variables.
a) Q-type factor analysis b) P-type factor analysis
c) R-type factor analysis d) S-type factor analysis.

41. If the outcome of an experiment is certain, that is the outcome is always the same, it is then a
______
a) Probabilistic Experiment b) Quasi Experiment
c) Deterministic Experiment d) Random Experiment.

42. The probability of the occurrence of a single event, such as P(A) or P(B), which takes a specific
value irrespective of the values of other events, i.e. unconditioned on any other events, is called
______
a) Joint Probability b) A marginal probability
c) Conditional Probability d) Unconditional Probability.

43. When the sample space S is countable, it is known as a ______


a) Discrete sample space b) Continuous sample space
c) Asynchronous sample space d) Synchronous sample space.

44. If two or more events cannot occur simultaneously in a single trail of an experiment, then such
events are called _______
a) Mutually exclusive events or disjoint events b) Collectively exhaustive events
c) Both A and B d) Joint events.

45. The _______ is that value that occurs most often or has the greatest probability of occurring.
a) Mean of a random variable b) Mode of a random variable
c) Median of a random variable d) None of these

Ver-A : PY 5 of 11
46. Two events are mutually exclusive if the occurrence of one of them prevents or rules out the
occurrence of the other is called _______
a) Collectively exhaustive events b) Mutually exclusive events
c) Both A and B d) None of these.

47. Binomial probability distribution is a widely used probability distribution where ______
a) There are only two possible outcomes b) There exists discrete random variable
c) it’s a Bernoulli process d) All of these

48. Mean  and standard deviation  are called parameters of ________


a) Normal distribution b) Binomial
c) Bernoulli Process d) Poisson

49. The Poisson process measures the number of occurrences of a particular outcome of a discrete
random variable in a predetermined _______
a) Time interval b) Space
c) Volume d) All of these

50 In the _______ process, the random variable values need counting. Such a count might be
number of telephone calls per hour coming into the switchboard, number of fatal traffic
accidents per week in a city/state etc. and so on.
a) Binomial distribution b) Normal distribution
c) Bayesian d) Poisson

Ver-A : PY 6 of 11
PART – II
Discipline Oriented Section
(Physics)

[50 MARKS]
51. The value of acceleration due to gravity at a height of 10 km from the surface of earth is ‘x’, at
what depth inside the earth is the value of acceleration due to gravity has the same value of ‘x’.
a) 10 km b) 15 km c) 20 km d) 5 km

52. Bulk modulus related with Young’s modulus and Rigidity modulus by the relation.
9K
a) Y  b) Y = 2(1 + K)
  3k
2
c) Y = 3K(1 + 2) d) K 
3Y

53. A Good Elastic material have


a) Low elongation stress required to make elongation
b) More elongation stress required to cause less elongation
c) Low yield point
d) Low value of Young’s modulus

54. A satellite is orbiting close to the earth and has kinetic energy ‘K’ the minimum energy
required to just overcome the gravitational pull of earth.
a) 2K b) 2 2 c) K d) 3 K

55. Oil spreads over the surface of water where as water does not spreads over the surface of
water, due to
a) surface tension of water is very high b) surface tension of water is very low
c) Viscosity of oil is high d) Viscosity of water is high

56. The speed V of the molecules of mass m of an ideal gas obeys Maxwell’s velocity distribution
law at an equilibrium temperature T. Let (Vx , Vy , Vz) deviate the components of the velocity
and kB the Boltzman constant. The average value of (Vx – Vy)2 , where  and  are
constants is ________
a) (2 – 2)/kBTm b) (2 + 2)kBT/m c) ( + )2 kBT/m d) ( – )2kBT/m

57. Let W be the work done in a quasistatic reversible thermodynamic process. Which of the
following statement about W is correct?
a) W is a perfect differential if the process is isothermal.
b) W is a perfect differential if the process is adiabatic.
c) W is always a perfect differential.
d) W cannot be a perfect differential.

58. Consider the melting transition of ice into water at constant pressure. Which of the following
thermodynamic quantities does not exhibit a discontinuous change across the phase transition?
a) Internal energy b) Helmholtz free energy c) Gibbs free energy d) Entropy

Ver-A : PY 7 of 11
59. The entropy of a system (s), is related to the accessible phase space volume  by
S = kB ln (E, N, V) where E, N, V are the energy, number of particles and volume
respectively. From this one can conclude that 
a) does not change during evolution to equilibrium
b) oscillates during evolution to equilibrium
c) is a maximum at equilibrium
d) is a minimum at equilibrium

60. Ten grams of ice at 0C is added to a beaker containing 30 grams of water at 25C. What is the
final temperature of the system when it comes to thermal equilibrium? (The specific heat of
water is 1 cal/gm/C and latent heat of welting of ice is 80 cal/gm).
a) 0C b) 7.5C c) 12.5C d) –1.25C

61. A wire of 1.2m long has mass of 0.012 kg attached to it. If the wire is under tension of 1600N,
then the speed of transverse wave is
a) 200 m/s b) 800 m/s c) 600 m/s d) 400 m/s

62. In Doppler effect, the change in frequency depends on the following :


a) Distance between source and listener b) Speeds of source and listener
c) Density of air d) Temperature of the medium

63. A free particle is oscillating in a straight line. The maximum velocity attains during any
oscillation is 60 m/s. The angular frequency of oscillation is : (Given amplitude of
oscillation = 1 m)
a) 60 rad/s b) 40 rad/s c) 30 rad/s d) 120 rad/s

64. When a sound wave enters from one medium to another, which of the following quantity does
not change?
a) Wavelength b) Speed c) Frequency d) None of these

65. If x(w) represents the Fourier transform of an imaginary signal x(t), then which of the
following statement is true:
a) x(w) will be conjugate symmetric in nature
b) x(w) will be conjugate anti-symmetric in nature
c) Real part of x(w) will be even function of w
d) Imaginary part of x(w) will be odd function of w

66. A wave front is defined as a surface of _______ phase.


a) constant b) increasing c) decreasing d) time variable

67. If red light is replaced by blue light illuminating the object in a microscope, the revolving
power of the microscope will ________.
a) decrease b) increase c) get halved d) remain unchanged

68. The principle of Laser action involves


a) stimulated emission
b) population inversion
c) Amplification of particular frequency emitted by the system
d) All of the above

Ver-A : PY 8 of 11
69. In optical fibers, the Rayleigh scattering is proportional to
1 1 1 1
a) b) 2 c) 3 d)
   4

70. The holograms found on credit-cards are an example of ________


a) Volume Holograms b) Reflection Holograms
c) Rainbow Holograms d) Hybrid Holograms

71. The vector potential at the position defined by a vector r in a uniform magnetic field may be
written as
a) B r
1

b) B  r
2
 c) B r  
d)  B r

72. An alternating emf is given by V = 400 sin(100nt) Volts. The rms value of the emf is
a) 400 V b) 200 2 V c) 200 V d) 100 2 V

73. Which of the following alloy is widely used in thermocoupled?


a) Brass b) Bronze c) Duralium d) Nichrome

74. Coefficient of coupling between two tightly coupled coils wound on a magnetic core is
a) zero b) 0.5 c) 1 d) 0.6

75. Which of the following is not the Maxwell’s equation?


a) div D =  b) div B   0 J
B D
c) curl E  d) curl H  J 
t t

76. The common wave number difference in the two successive rotational lines is
h h h h
a) 2
b) 2
c) 2
d) 2
8 I C 4 I C 2 I C  IC

77. The value of the Lande g-factor for a fine structure level defined by the quantum number
L = 1, J = 2 and S = 1 is
a) 5/2 b) 3/2 c) 5/3 d) 11/3

78. Atomic packing factor of a simple cubic structure is


a) 0.42 b) 0.52 c) 0.62 d) 0.72

79. Raman shift depends upon


a) Incident intensity b) Resolving power of spectrograph used
c) Molecular energy level of scatterer d) Incident wavelength

80. Penetrating power of X-rays can be increased by


a) Increasing the potential difference between anode and cathode
b) Decreasing the potential difference between anode and cathode
c) Increasing cathode filament current
d) Decreasing cathode filament current

Ver-A : PY 9 of 11
81. What is the mass number A of a nucleus whose radius r = 2.71 fermi?
(Given that r0 = 1.310–15 m)
a) A = 6 b) A = 7 c) A = 8 d) A = 9

82. The nucleus radius of the order of


a) 10–10 m b) 10–14 m c) 10–12 m d) 10–8 m

83. Commonly use moderator in nuclear reactors is/are


a) heavy water b) ordinary water c) graphite d) All of these

84. If 3.6g of Uranium be completely converted into energy, how many kilowatts of energy will be
obtained from it?
a) 9107 Kilowatt – hours b) 9106 Kilowatt – hours
c) 9105 Kilowatt – hours d) 9104 Kilowatt – hours

85. Radius ‘R’ of a nucleus changes with the nucleon number ‘A’ of the nucleus as :
a) r  r0 A 2 / 3 b) r  r0 A1/ 3 c) r  r0 A 3 / 2 d) r  r0 A 1 / 3

86. As an object approaches the speed of light it’s mass becomes


a) zero b) Double c) Remains same d) Infinite

87. The energy which an electron possesses at 0 K is


a) Valance Energy b) Fermi Energy c) Conduction Energy d) Kinetic Energy

88. What happens when moisture gets into the insulating material?
a) It increases dielectric constant b) It increases the insulation resistance
c) It increases the dielectric strength d) It increases the dielectric loss

89. Soft magnetic materials line iron and its alloy are used in the manufacture of
a) Permanent Magnets
b) Magnets for toys
c) Magnets used in measuring meters of current and voltage
d) Cores of transformers employed in power generation.

90. In a pure semiconductor the charge carriers are


a) Holes only b) Electrons only
c) Both Holes and Electrons d) All of these

91. Which is the correct form of D’Alembert’s principle


 
a)  Fi  Pi ri  0 b)  Fi  q i  q  0
i i

c)  P  q r  0
i i d)  F  P r  0
i i i
i i

92. If the constraints relation do not depends on velocity such constraints is


a) Non hololomic b) Rheonomic c) Hololomic d) Scleronomic

Ver-A : PY 10 of 11
93. Schrodinger’s wave equations are
a) Governing the behaviour of em waves
b) Governing the probability behaviour of waves
c) Governing the behaviour of Complex Quantity ‘’
d) Governing the behaviour of matter waves

94. Uncertainty relations applied to


a) any dynomical variables
b) a pair of dynomical variables, the operators corresponding to which commute
c) pair of dynomical variables, the operators corresponding to which do not commute
d) ‘x’ and ‘P x’ only

95. Matter waves are


a) Longitudinal b) EM waves
c) Poilet waves d) Both Longitudinal and transvers

96. The voltage gain of a transistor connected in common-collector mode is :


a) Always equal to 1 b) Less than 1 c) More than 1 d) None of these

97. An intrinsic semiconductor at 300 K has equal hole and electron concentrations each of
410 16/m3. On doping, the electron concentration increased to 81026/m3. The new hole
concentration in doped semiconductor is :
a) 0.51026/m3 b) 41016/m3 c) 2106/m3 d) 8106/m3

98. The output of the given logic gate is :

a) XOR b) AND c) OR d) NAND

99. The amplifier has a gain of 40. When the feedback is applied, the gain falls to 20. Then the
value of feedback ratio is :
a) 0.02 b) 0.025 c) 1 d) 0.5

100. The decimal equivalent value for binary number (1101110)2 is :


a) (111)10 b) (110)10 c) (220)10 d) (222)10

*****

Ver-A : PY 11 of 11
VTU-ETR Seat No. Question Paper Version : B

Visvesvaraya Technological University, Belagavi


Eligibility Test for Research (VTU-ETR) Programmes
Ph.D./M.S. (Research) August – 2023
Physics
Time: 3 hrs. Max. Marks: 100

INSTRUCTIONS TO THE CANDIDATES


1. Ensure that the question paper booklet issued to you is of your opted discipline.
2. If your name, ETR number, OMR No., branch and branch code are not already printed on
the OMR answer sheet, write them in clear handwriting in the space provided.
3. The question paper has 100 multiple choice questions. Each question carries one mark.
4. All the questions are compulsory.
5. Missing data, if any, may be suitably assumed.
6. There shall be no negative marking for wrong answers.
7. The examinees shall select the response which they want to mark/indicate on the response
sheet and shade/darken/blacken completely the inside area of the corresponding checkbox
bubble of circular or oval shape.
8. Candidates should use black ball point pen to shade the checkbox bubble so that it is fully
dark and the computer can detect without fail. Shading should be limited to the checkbox
bubble only.
9. Shading of multiple checkbox bubbles shall be treated as invalid answer.
10. Partial or incomplete shading/darkening of the bubble be avoided.
11. Use of whiteners/correction fluid to change the shaded/filled checkbox bubble to fill another
is prohibited.
12. Erasing of filled checkbox bubble/s to fill another is prohibited.
13. Any type of writing, scribbling etc., on the question paper and ticking the response of a
question/s are prohibited. Violation of this condition shall lead to disciplinary action like
debar from the examination. Also, the OMR answer sheet shall not be considered for
evaluation process.
14. Only non-programmable scientific calculator is permitted. Violation of this condition shall
lead to disciplinary action like debar from the examination. Also, the OMR answer sheet
shall not be considered for evaluation process.
15. Folding/crushing/mutilating of OMR sheet is not permitted.
16. Handover the OMR sheet to the Room Invigilator while leaving the examination hall.
PART – I
(Research Methodology)
[50 Marks]
1. If the outcome of an experiment is certain, that is the outcome is always the same, it is then a
______
a) Probabilistic Experiment b) Quasi Experiment
c) Deterministic Experiment d) Random Experiment.

2. The probability of the occurrence of a single event, such as P(A) or P(B), which takes a specific
value irrespective of the values of other events, i.e. unconditioned on any other events, is called
______
a) Joint Probability b) A marginal probability
c) Conditional Probability d) Unconditional Probability.

3. When the sample space S is countable, it is known as a ______


a) Discrete sample space b) Continuous sample space
c) Asynchronous sample space d) Synchronous sample space.

4. If two or more events cannot occur simultaneously in a single trail of an experiment, then such
events are called _______
a) Mutually exclusive events or disjoint events b) Collectively exhaustive events
c) Both A and B d) Joint events.

5. The _______ is that value that occurs most often or has the greatest probability of occurring.
a) Mean of a random variable b) Mode of a random variable
c) Median of a random variable d) None of these

6. Two events are mutually exclusive if the occurrence of one of them prevents or rules out the
occurrence of the other is called _______
a) Collectively exhaustive events b) Mutually exclusive events
c) Both A and B d) None of these.

7. Binomial probability distribution is a widely used probability distribution where ______


a) There are only two possible outcomes b) There exists discrete random variable
c) it’s a Bernoulli process d) All of these

8. Mean  and standard deviation  are called parameters of ________


a) Normal distribution b) Binomial
c) Bernoulli Process d) Poisson

9. The Poisson process measures the number of occurrences of a particular outcome of a discrete
random variable in a predetermined _______
a) Time interval b) Space
c) Volume d) All of these

Ver-B : PY 1 of 11
10 In the _______ process, the random variable values need counting. Such a count might be
number of telephone calls per hour coming into the switchboard, number of fatal traffic
accidents per week in a city/state etc. and so on.
a) Binomial distribution b) Normal distribution
c) Bayesian d) Poisson

11. The ANOVA technique is important in the context of all those situations where all want to
compare ______
a) Two population b) More than two populations
c) Less than two populations d) Single population.

12. Analysis of variance in which only ______ is used to analyze the difference between more than
two population means is called one way anova.
a) Two criterion (variable)
b) One criterion (variable)
c) Both two criterion (variable) and one criterion (variable)
d) None of these.

13. The basic principle of ANOVA is to test for differences among the ______ by examining the
______ within each of these samples, relative to the amount of variation between the samples.
a) Means of the populations and amount of variation
b) Estimation of the population and amount of variation
c) Means of the samples and amount of variation
d) Samples and amount of variation.

14. While applying the ANOVA techniques, the influence the uncontrolled variable is usually
removed by _______
a) Multiple regression method b) Simple linear regression method
c) One way ANOVA d) All of these

15. What are the other assumptions in ANOVA ______


a) Various treatment groups are selected at random from the population.
b) The groups are homogeneous in variability.
c) The regression is linear and is from group to group.
d) All of these.

16. Regression analysis helps to determine ______ to measure the variability or spread of values of
a dependent variable with respect to the regression line.
a) Independent value b) Dependent value
c) Linear regression d) Standard error of estimate.

17. Regression models are used for several purposes, including the following_______
a) Data description
b) Parameter Estimation
c) Linear regression and standard error of estimate
d) All of these.

Ver-B : PY 2 of 11
18. Factor analysis is by for the most often used _______ of research studies, specially pertaining to
social and behavioural sciences.
a) Multi functional technique b) Multi lateral technique
c) Multi linear d) Multivariate technique.

19. _______ , in the context of factor analysis, is something like staining a microscope slide.
a) Flipping b) Factoring
c) Rotation d) Synchronizing.

20. In _______, the correlations are computed between pairs of respondents instead of pairs of
variables.
a) Q-type factor analysis b) P-type factor analysis
c) R-type factor analysis d) S-type factor analysis.

21. What is the difference between a sample survey and a census survey?
a) Sample survey includes the entire population, while census survey includes a subset.
b) Sample survey is conducted using questionnaires while census surveys use interviews.
c) Sample survey is less accurate than census survey.
d) Sample survey is more expensive than census survey.

22. What are the types of sampling designs?


a) Probability sampling and non probability sampling.
b) Cluster sampling and convenience sampling.
c) Snowball sampling and purposive sampling.
d) Quota sampling and stratified sampling.

23. Which of the following is NOT a classification of measurement scales?


a) Normal Scale b) Ordinal scale c) Interval scale d) Hierarchical scale

24. What are the sources of error in measurement?


a) Systematic error and random error b) Measurement bias and sampling error
c) Observer bias and response bias d) Internal validity and external validity.

25. What is the purpose of scaling in research?


a) To measure the central tendency of data
b) To determine the reliability of measurements
c) To assign numbers to represent characteristics
d) To calculate statistical significance.

26. What is the process of data preparation in research?


a) Collecting data from primary sources. b) Analyzing data using statistical software.
c) Cleaning and organizing data for analysis. d) Conducting data visualization techniques.

27. Which of the following is NOT a problem in the data preparation process?
a) Handling missing values b) Dealing with outliers
c) Ensuring data privacy d) Checking data accuracy.

Ver-B : PY 3 of 11
28. What are the measures of central tendency?
a) Mean, Median and mode
b) Variance, standard deviation and range
c) Skewness, Kurtosis and correlation
d) Probability, confidence interval and hypothesis testing.

29. What do measures of dispersion indicate in research?


a) The shape of the data distribution b) The spread or variability of the data
c) The central value of the data set d) The relationship between variables.

30. What is the purpose of descriptive statistics?


a) To summarize and describe data b) To test hypotheses and make inferences
c) To establish causal relationships d) To predict future outcomes.

31. What is the significance of research?


a) Gathering information b) Solving problems
c) Formulating theories d) Analyzing data

32. Which of the following best defines research?


a) Systematic investigation b) A random experiment
c) A personal opinion d) An intuitive guess

33. Which of the following is NOT an objective of research?


a) Exploring new phenomena b) Developing new theories
c) Testing pre conceived notions d) Proving personal beliefs.

34. What is the difference between research methods and research methodology?
a) Methods are practical techniques, while methodology is the theoretical framework.
b) Methods focus on data analysis, while methodology focuses on data collection.
c) Methods are used in natural sciences, while methodology is used in social sciences.
d) Methods are objective, while methodology is subjective.

35. What are the criteria of good research?


a) Replicability, Objectivity and Reliability
b) Creativity, Subjectivity and Originality
c) Simplicity, brevity, and clarity
d) Validity, Complexity and comprehensiveness

36. What is the purpose of reviewing the literature in research?


a) To validate the researcher’s hypothesis b) To identify gaps in existing knowledge
c) To find short cuts for conducting research d) To plagiarize ideas from previous studies.

37. What is the role of a theoretical framework in research?


a) It provides a structure for organizing the literature review.
b) It establishes the research objectives and hypotheses.
c) It guides the data collection and analysis process.
d) It helps in selecting the appropriate research design.

Ver-B : PY 4 of 11
38. What is the meaning of research design?
a) The overall plan for conducting a research study.
b) The specific research method used in data collection.
c) The Statistical analysis technique used in research.
d) The process of formulating research questions.

39. Which of the following is an important principle of experimental designs?


a) Random sampling of participants b) Use of control groups
c) Longitudinal data collection d) Qualitative data.

40. What is the need for research design?


a) It helps in determining the sample size
b) It ensures the accuracy of data analysis.
c) It provides a structure for conducting research
d) It minimizes the ethical concerns in research.

41. What is the difference between a parameter and a statistic?


a) Parameters describe populations, while statistics describe samples.
b) Parameters are qualitative, while statistics are quantitative.
c) Parameters are based on theory, while statistics are based on observation.
d) Parameters are mode reliable than statistics.

42. What is the central limit theorem?


a) It states that the sample mean approaches the population mean as the sample size increases.
b) It explains the relationship between the mean and standard deviation of a sample.
c) It ensures that the sampling distribution is normally distributed.
d) It allows for the estimation of population parameters based on sample statistics.

43. What is the standard error?


a) The standard deviation of the population.
b) The standard deviation of the sample.
c) The measure of sampling error.
d) The measure of non-sampling error.

44. What is the purpose of finite population correction?


a) To adjust for sampling bias.
b) To account for non-response error.
c) To correct for measurement error.
d) To adjust the standard error for small populations.

45. What does statistical inference involve?


a) Making predictions about the future based on past data.
b) Estimating population parameters from sample statistics.
c) Analyzing the relationship between variables.
d) Describing and summarizing data.

Ver-B : PY 5 of 11
46. If terms such as, ‘positive’, ‘negative’, ‘more than’, ‘less than’ etc are used to make a statement,
then such a hypothesis is called…..
a) Relational hypotheses b) Causal hypothesis
c) Research hypothesis d) Directional hypothesis.

47. The tests of significance or test statistic are classified into…..


a) Parametric test
b) Non parametric test
c) Both parametric and nonparametric tests
d) None of these.

48. A two-tailed test rejects the null hypothesis if the sample mean is significantly____ than the
hypothesized value of the mean of the population.
a) Higher b) Lower c) Higher or lower d) None of these

49. _________ is a way to test for comparing two related samples, involving small values of ‘n’ that
does not require the variances of the two populations to be equal.
a) Z-test b) Paired t – test c) f-test d) None of these

50. As a test of independence, X2 test enables us to explain _______


a) Whether or not two attributes are associated b) The fit is considered to be a good one
c) Whether test is significant d) None of these

Ver-B : PY 6 of 11
PART – II
Discipline Oriented Section
(Physics)

[50 MARKS]

51. Which is the correct form of D’Alembert’s principle


 
a)  Fi  Pi ri  0 b)  Fi  q i  q  0
i i

c)  P  q r  0
i i d)  F  P r  0
i i i
i i

52. If the constraints relation do not depends on velocity such constraints is


a) Non hololomic b) Rheonomic c) Hololomic d) Scleronomic

53. Schrodinger’s wave equations are


a) Governing the behaviour of em waves
b) Governing the probability behaviour of waves
c) Governing the behaviour of Complex Quantity ‘’
d) Governing the behaviour of matter waves

54. Uncertainty relations applied to


a) any dynomical variables
b) a pair of dynomical variables, the operators corresponding to which commute
c) pair of dynomical variables, the operators corresponding to which do not commute
d) ‘x’ and ‘Px’ only

55. Matter waves are


a) Longitudinal b) EM waves
c) Poilet waves d) Both Longitudinal and transvers

56. The voltage gain of a transistor connected in common-collector mode is :


a) Always equal to 1 b) Less than 1 c) More than 1 d) None of these

57. An intrinsic semiconductor at 300 K has equal hole and electron concentrations each of
410 16/m3. On doping, the electron concentration increased to 81026/m3. The new hole
concentration in doped semiconductor is :
a) 0.51026/m3 b) 41016/m3 c) 2106/m3 d) 8106/m3

58. The output of the given logic gate is :

a) XOR b) AND c) OR d) NAND

59. The amplifier has a gain of 40. When the feedback is applied, the gain falls to 20. Then the
value of feedback ratio is :
a) 0.02 b) 0.025 c) 1 d) 0.5

Ver-B : PY 7 of 11
60. The decimal equivalent value for binary number (1101110)2 is :
a) (111)10 b) (110)10 c) (220)10 d) (222)10

61. What is the mass number A of a nucleus whose radius r = 2.71 fermi?
(Given that r0 = 1.310–15 m)
a) A = 6 b) A = 7 c) A = 8 d) A = 9

62. The nucleus radius of the order of


a) 10–10 m b) 10–14 m c) 10–12 m d) 10–8 m

63. Commonly use moderator in nuclear reactors is/are


a) heavy water b) ordinary water c) graphite d) All of these

64. If 3.6g of Uranium be completely converted into energy, how many kilowatts of energy will be
obtained from it?
a) 9107 Kilowatt – hours b) 9106 Kilowatt – hours
c) 9105 Kilowatt – hours d) 9104 Kilowatt – hours

65. Radius ‘R’ of a nucleus changes with the nucleon number ‘A’ of the nucleus as :
a) r  r0 A 2 / 3 b) r  r0 A1/ 3 c) r  r0 A 3 / 2 d) r  r0 A 1 / 3

66. As an object approaches the speed of light it’s mass becomes


a) zero b) Double c) Remains same d) Infinite

67. The energy which an electron possesses at 0 K is


a) Valance Energy b) Fermi Energy c) Conduction Energy d) Kinetic Energy

68. What happens when moisture gets into the insulating material?
a) It increases dielectric constant b) It increases the insulation resistance
c) It increases the dielectric strength d) It increases the dielectric loss

69. Soft magnetic materials line iron and its alloy are used in the manufacture of
a) Permanent Magnets
b) Magnets for toys
c) Magnets used in measuring meters of current and voltage
d) Cores of transformers employed in power generation.

70. In a pure semiconductor the charge carriers are


a) Holes only b) Electrons only
c) Both Holes and Electrons d) All of these

71. A wire of 1.2m long has mass of 0.012 kg attached to it. If the wire is under tension of 1600N,
then the speed of transverse wave is
a) 200 m/s b) 800 m/s c) 600 m/s d) 400 m/s

72. In Doppler effect, the change in frequency depends on the following :


a) Distance between source and listener b) Speeds of source and listener
c) Density of air d) Temperature of the medium

Ver-B : PY 8 of 11
73. A free particle is oscillating in a straight line. The maximum velocity attains during any
oscillation is 60 m/s. The angular frequency of oscillation is : (Given amplitude of
oscillation = 1 m)
a) 60 rad/s b) 40 rad/s c) 30 rad/s d) 120 rad/s

74. When a sound wave enters from one medium to another, which of the following quantity does
not change?
a) Wavelength b) Speed c) Frequency d) None of these

75. If x(w) represents the Fourier transform of an imaginary signal x(t), then which of the
following statement is true:
a) x(w) will be conjugate symmetric in nature
b) x(w) will be conjugate anti-symmetric in nature
c) Real part of x(w) will be even function of w
d) Imaginary part of x(w) will be odd function of w

76. A wave front is defined as a surface of _______ phase.


a) constant b) increasing c) decreasing d) time variable

77. If red light is replaced by blue light illuminating the object in a microscope, the revolving
power of the microscope will ________.
a) decrease b) increase c) get halved d) remain unchanged

78. The principle of Laser action involves


a) stimulated emission
b) population inversion
c) Amplification of particular frequency emitted by the system
d) All of the above

79. In optical fibers, the Rayleigh scattering is proportional to


1 1 1 1
a) b) 2 c) 3 d)
   4

80. The holograms found on credit-cards are an example of ________


a) Volume Holograms b) Reflection Holograms
c) Rainbow Holograms d) Hybrid Holograms

81. The value of acceleration due to gravity at a height of 10 km from the surface of earth is ‘x’, at
what depth inside the earth is the value of acceleration due to gravity has the same value of ‘x’.
a) 10 km b) 15 km c) 20 km d) 5 km

82. Bulk modulus related with Young’s modulus and Rigidity modulus by the relation.
9K
a) Y  b) Y = 2(1 + K)
  3k
2
c) Y = 3K(1 + 2) d) K 
3Y

Ver-B : PY 9 of 11
83. A Good Elastic material have
a) Low elongation stress required to make elongation
b) More elongation stress required to cause less elongation
c) Low yield point
d) Low value of Young’s modulus

84. A satellite is orbiting close to the earth and has kinetic energy ‘K’ the minimum energy
required to just overcome the gravitational pull of earth.
a) 2K b) 2 2 c) K d) 3 K

85. Oil spreads over the surface of water where as water does not spreads over the surface of
water, due to
a) surface tension of water is very high b) surface tension of water is very low
c) Viscosity of oil is high d) Viscosity of water is high

86. The speed V of the molecules of mass m of an ideal gas obeys Maxwell’s velocity distribution
law at an equilibrium temperature T. Let (Vx , Vy , Vz) deviate the components of the velocity
and kB the Boltzman constant. The average value of (Vx – Vy)2 , where  and  are
constants is ________
a) (2 – 2)/kBTm b) (2 + 2)kBT/m c) ( + )2 kBT/m d) ( – )2kBT/m

87. Let W be the work done in a quasistatic reversible thermodynamic process. Which of the
following statement about W is correct?
a) W is a perfect differential if the process is isothermal.
b) W is a perfect differential if the process is adiabatic.
c) W is always a perfect differential.
d) W cannot be a perfect differential.

88. Consider the melting transition of ice into water at constant pressure. Which of the following
thermodynamic quantities does not exhibit a discontinuous change across the phase transition?
a) Internal energy b) Helmholtz free energy c) Gibbs free energy d) Entropy

89. The entropy of a system (s), is related to the accessible phase space volume  by
S = kB ln (E, N, V) where E, N, V are the energy, number of particles and volume
respectively. From this one can conclude that 
a) does not change during evolution to equilibrium
b) oscillates during evolution to equilibrium
c) is a maximum at equilibrium
d) is a minimum at equilibrium

90. Ten grams of ice at 0C is added to a beaker containing 30 grams of water at 25C. What is the
final temperature of the system when it comes to thermal equilibrium? (The specific heat of
water is 1 cal/gm/C and latent heat of welting of ice is 80 cal/gm).
a) 0C b) 7.5C c) 12.5C d) –1.25C

91. The vector potential at the position defined by a vector r in a uniform magnetic field may be
written as
a) B r
1
2
 
b) B  r c) B r  
d)  B r
Ver-B : PY 10 of 11
92. An alternating emf is given by V = 400 sin(100nt) Volts. The rms value of the emf is
a) 400 V b) 200 2 V c) 200 V d) 100 2 V

93. Which of the following alloy is widely used in thermocoupled?


a) Brass b) Bronze c) Duralium d) Nichrome

94. Coefficient of coupling between two tightly coupled coils wound on a magnetic core is
a) zero b) 0.5 c) 1 d) 0.6

95. Which of the following is not the Maxwell’s equation?


a) div D =  b) div B   0 J
B D
c) curl E  d) curl H  J 
t t

96. The common wave number difference in the two successive rotational lines is
h h h h
a) 2
b) 2
c) 2
d) 2
8 I C 4 I C 2 I C  IC

97. The value of the Lande g-factor for a fine structure level defined by the quantum number
L = 1, J = 2 and S = 1 is
a) 5/2 b) 3/2 c) 5/3 d) 11/3

98. Atomic packing factor of a simple cubic structure is


a) 0.42 b) 0.52 c) 0.62 d) 0.72

99. Raman shift depends upon


a) Incident intensity b) Resolving power of spectrograph used
c) Molecular energy level of scatterer d) Incident wavelength

100. Penetrating power of X-rays can be increased by


a) Increasing the potential difference between anode and cathode
b) Decreasing the potential difference between anode and cathode
c) Increasing cathode filament current
d) Decreasing cathode filament current

*****

Ver-B : PY 11 of 11
VTU-ETR Seat No. Question Paper Version : C

Visvesvaraya Technological University, Belagavi


Eligibility Test for Research (VTU-ETR) Programmes
Ph.D./M.S. (Research) August – 2023
Physics
Time: 3 hrs. Max. Marks: 100

INSTRUCTIONS TO THE CANDIDATES


1. Ensure that the question paper booklet issued to you is of your opted discipline.
2. If your name, ETR number, OMR No., branch and branch code are not already printed on
the OMR answer sheet, write them in clear handwriting in the space provided.
3. The question paper has 100 multiple choice questions. Each question carries one mark.
4. All the questions are compulsory.
5. Missing data, if any, may be suitably assumed.
6. There shall be no negative marking for wrong answers.
7. The examinees shall select the response which they want to mark/indicate on the response
sheet and shade/darken/blacken completely the inside area of the corresponding checkbox
bubble of circular or oval shape.
8. Candidates should use black ball point pen to shade the checkbox bubble so that it is fully
dark and the computer can detect without fail. Shading should be limited to the checkbox
bubble only.
9. Shading of multiple checkbox bubbles shall be treated as invalid answer.
10. Partial or incomplete shading/darkening of the bubble be avoided.
11. Use of whiteners/correction fluid to change the shaded/filled checkbox bubble to fill another
is prohibited.
12. Erasing of filled checkbox bubble/s to fill another is prohibited.
13. Any type of writing, scribbling etc., on the question paper and ticking the response of a
question/s are prohibited. Violation of this condition shall lead to disciplinary action like
debar from the examination. Also, the OMR answer sheet shall not be considered for
evaluation process.
14. Only non-programmable scientific calculator is permitted. Violation of this condition shall
lead to disciplinary action like debar from the examination. Also, the OMR answer sheet
shall not be considered for evaluation process.
15. Folding/crushing/mutilating of OMR sheet is not permitted.
16. Handover the OMR sheet to the Room Invigilator while leaving the examination hall.

PART – I
PART – I
(Research Methodology)
[50 Marks]

1. What is the difference between a parameter and a statistic?


a) Parameters describe populations, while statistics describe samples.
b) Parameters are qualitative, while statistics are quantitative.
c) Parameters are based on theory, while statistics are based on observation.
d) Parameters are mode reliable than statistics.

2. What is the central limit theorem?


a) It states that the sample mean approaches the population mean as the sample size increases.
b) It explains the relationship between the mean and standard deviation of a sample.
c) It ensures that the sampling distribution is normally distributed.
d) It allows for the estimation of population parameters based on sample statistics.

3. What is the standard error?


a) The standard deviation of the population.
b) The standard deviation of the sample.
c) The measure of sampling error.
d) The measure of non-sampling error.

4. What is the purpose of finite population correction?


a) To adjust for sampling bias.
b) To account for non-response error.
c) To correct for measurement error.
d) To adjust the standard error for small populations.

5. What does statistical inference involve?


a) Making predictions about the future based on past data.
b) Estimating population parameters from sample statistics.
c) Analyzing the relationship between variables.
d) Describing and summarizing data.

6. If terms such as, ‘positive’, ‘negative’, ‘more than’, ‘less than’ etc are used to make a statement,
then such a hypothesis is called…..
a) Relational hypotheses b) Causal hypothesis
c) Research hypothesis d) Directional hypothesis.

7. The tests of significance or test statistic are classified into…..


a) Parametric test
b) Non parametric test
c) Both parametric and nonparametric tests
d) None of these.

Ver-C : PY 1 of 11
8. A two-tailed test rejects the null hypothesis if the sample mean is significantly____ than the
hypothesized value of the mean of the population.
a) Higher b) Lower c) Higher or lower d) None of these

9. _________ is a way to test for comparing two related samples, involving small values of ‘n’ that
does not require the variances of the two populations to be equal.
a) Z-test b) Paired t – test c) f-test d) None of these

10. As a test of independence, X2 test enables us to explain _______


a) Whether or not two attributes are associated b) The fit is considered to be a good one
c) Whether test is significant d) None of these

11. If the outcome of an experiment is certain, that is the outcome is always the same, it is then a
______
a) Probabilistic Experiment b) Quasi Experiment
c) Deterministic Experiment d) Random Experiment.

12. The probability of the occurrence of a single event, such as P(A) or P(B), which takes a specific
value irrespective of the values of other events, i.e. unconditioned on any other events, is called
______
a) Joint Probability b) A marginal probability
c) Conditional Probability d) Unconditional Probability.

13. When the sample space S is countable, it is known as a ______


a) Discrete sample space b) Continuous sample space
c) Asynchronous sample space d) Synchronous sample space.

14. If two or more events cannot occur simultaneously in a single trail of an experiment, then such
events are called _______
a) Mutually exclusive events or disjoint events b) Collectively exhaustive events
c) Both A and B d) Joint events.

15. The _______ is that value that occurs most often or has the greatest probability of occurring.
a) Mean of a random variable b) Mode of a random variable
c) Median of a random variable d) None of these

16. Two events are mutually exclusive if the occurrence of one of them prevents or rules out the
occurrence of the other is called _______
a) Collectively exhaustive events b) Mutually exclusive events
c) Both A and B d) None of these.

17. Binomial probability distribution is a widely used probability distribution where ______
a) There are only two possible outcomes b) There exists discrete random variable
c) it’s a Bernoulli process d) All of these

Ver-C : PY 2 of 11
18. Mean  and standard deviation  are called parameters of ________
a) Normal distribution b) Binomial
c) Bernoulli Process d) Poisson

19. The Poisson process measures the number of occurrences of a particular outcome of a discrete
random variable in a predetermined _______
a) Time interval b) Space
c) Volume d) All of these

20 In the _______ process, the random variable values need counting. Such a count might be
number of telephone calls per hour coming into the switchboard, number of fatal traffic
accidents per week in a city/state etc. and so on.
a) Binomial distribution b) Normal distribution
c) Bayesian d) Poisson

21. The ANOVA technique is important in the context of all those situations where all want to
compare ______
a) Two population b) More than two populations
c) Less than two populations d) Single population.

22. Analysis of variance in which only ______ is used to analyze the difference between more than
two population means is called one way anova.
a) Two criterion (variable)
b) One criterion (variable)
c) Both two criterion (variable) and one criterion (variable)
d) None of these.

23. The basic principle of ANOVA is to test for differences among the ______ by examining the
______ within each of these samples, relative to the amount of variation between the samples.
a) Means of the populations and amount of variation
b) Estimation of the population and amount of variation
c) Means of the samples and amount of variation
d) Samples and amount of variation.

24. While applying the ANOVA techniques, the influence the uncontrolled variable is usually
removed by _______
a) Multiple regression method b) Simple linear regression method
c) One way ANOVA d) All of these

25. What are the other assumptions in ANOVA ______


a) Various treatment groups are selected at random from the population.
b) The groups are homogeneous in variability.
c) The regression is linear and is from group to group.
d) All of these.

Ver-C : PY 3 of 11
26. Regression analysis helps to determine ______ to measure the variability or spread of values of
a dependent variable with respect to the regression line.
a) Independent value b) Dependent value
c) Linear regression d) Standard error of estimate.

27. Regression models are used for several purposes, including the following_______
a) Data description
b) Parameter Estimation
c) Linear regression and standard error of estimate
d) All of these.

28. Factor analysis is by for the most often used _______ of research studies, specially pertaining to
social and behavioural sciences.
a) Multi functional technique b) Multi lateral technique
c) Multi linear d) Multivariate technique.

29. _______ , in the context of factor analysis, is something like staining a microscope slide.
a) Flipping b) Factoring
c) Rotation d) Synchronizing.

30. In _______, the correlations are computed between pairs of respondents instead of pairs of
variables.
a) Q-type factor analysis b) P-type factor analysis
c) R-type factor analysis d) S-type factor analysis.

31. What is the difference between a sample survey and a census survey?
a) Sample survey includes the entire population, while census survey includes a subset.
b) Sample survey is conducted using questionnaires while census surveys use interviews.
c) Sample survey is less accurate than census survey.
d) Sample survey is more expensive than census survey.

32. What are the types of sampling designs?


a) Probability sampling and non probability sampling.
b) Cluster sampling and convenience sampling.
c) Snowball sampling and purposive sampling.
d) Quota sampling and stratified sampling.

33. Which of the following is NOT a classification of measurement scales?


a) Normal Scale b) Ordinal scale c) Interval scale d) Hierarchical scale

34. What are the sources of error in measurement?


a) Systematic error and random error b) Measurement bias and sampling error
c) Observer bias and response bias d) Internal validity and external validity.

Ver-C : PY 4 of 11
35. What is the purpose of scaling in research?
a) To measure the central tendency of data
b) To determine the reliability of measurements
c) To assign numbers to represent characteristics
d) To calculate statistical significance.

36. What is the process of data preparation in research?


a) Collecting data from primary sources. b) Analyzing data using statistical software.
c) Cleaning and organizing data for analysis. d) Conducting data visualization techniques.

37. Which of the following is NOT a problem in the data preparation process?
a) Handling missing values b) Dealing with outliers
c) Ensuring data privacy d) Checking data accuracy.

38. What are the measures of central tendency?


a) Mean, Median and mode
b) Variance, standard deviation and range
c) Skewness, Kurtosis and correlation
d) Probability, confidence interval and hypothesis testing.

39. What do measures of dispersion indicate in research?


a) The shape of the data distribution b) The spread or variability of the data
c) The central value of the data set d) The relationship between variables.

40. What is the purpose of descriptive statistics?


a) To summarize and describe data b) To test hypotheses and make inferences
c) To establish causal relationships d) To predict future outcomes.

41. What is the significance of research?


a) Gathering information b) Solving problems
c) Formulating theories d) Analyzing data

42. Which of the following best defines research?


a) Systematic investigation b) A random experiment
c) A personal opinion d) An intuitive guess

43. Which of the following is NOT an objective of research?


a) Exploring new phenomena b) Developing new theories
c) Testing pre conceived notions d) Proving personal beliefs.

44. What is the difference between research methods and research methodology?
a) Methods are practical techniques, while methodology is the theoretical framework.
b) Methods focus on data analysis, while methodology focuses on data collection.
c) Methods are used in natural sciences, while methodology is used in social sciences.
d) Methods are objective, while methodology is subjective.

Ver-C : PY 5 of 11
45. What are the criteria of good research?
a) Replicability, Objectivity and Reliability
b) Creativity, Subjectivity and Originality
c) Simplicity, brevity, and clarity
d) Validity, Complexity and comprehensiveness

46. What is the purpose of reviewing the literature in research?


a) To validate the researcher’s hypothesis b) To identify gaps in existing knowledge
c) To find short cuts for conducting research d) To plagiarize ideas from previous studies.

47. What is the role of a theoretical framework in research?


a) It provides a structure for organizing the literature review.
b) It establishes the research objectives and hypotheses.
c) It guides the data collection and analysis process.
d) It helps in selecting the appropriate research design.

48. What is the meaning of research design?


a) The overall plan for conducting a research study.
b) The specific research method used in data collection.
c) The Statistical analysis technique used in research.
d) The process of formulating research questions.

49. Which of the following is an important principle of experimental designs?


a) Random sampling of participants b) Use of control groups
c) Longitudinal data collection d) Qualitative data.

50. What is the need for research design?


a) It helps in determining the sample size
b) It ensures the accuracy of data analysis.
c) It provides a structure for conducting research
d) It minimizes the ethical concerns in research.

Ver-C : PY 6 of 11
PART – II
Discipline Oriented Section
(Physics)

[50 MARKS]
51. The vector potential at the position defined by a vector r in a uniform magnetic field may be
written as
a) B r
1
2
 
b) B  r c) B r  
d)  B r

52. An alternating emf is given by V = 400 sin(100nt) Volts. The rms value of the emf is
a) 400 V b) 200 2 V c) 200 V d) 100 2 V

53. Which of the following alloy is widely used in thermocoupled?


a) Brass b) Bronze c) Duralium d) Nichrome

54. Coefficient of coupling between two tightly coupled coils wound on a magnetic core is
a) zero b) 0.5 c) 1 d) 0.6

55. Which of the following is not the Maxwell’s equation?


a) div D =  b) div B   0 J
B D
c) curl E  d) curl H  J 
t t

56. The common wave number difference in the two successive rotational lines is
h h h h
a) 2
b) 2
c) 2
d) 2
8 I C 4 I C 2 I C  IC

57. The value of the Lande g-factor for a fine structure level defined by the quantum number
L = 1, J = 2 and S = 1 is
a) 5/2 b) 3/2 c) 5/3 d) 11/3

58. Atomic packing factor of a simple cubic structure is


a) 0.42 b) 0.52 c) 0.62 d) 0.72

59. Raman shift depends upon


a) Incident intensity b) Resolving power of spectrograph used
c) Molecular energy level of scatterer d) Incident wavelength

60. Penetrating power of X-rays can be increased by


a) Increasing the potential difference between anode and cathode
b) Decreasing the potential difference between anode and cathode
c) Increasing cathode filament current
d) Decreasing cathode filament current

Ver-C : PY 7 of 11
61. Which is the correct form of D’Alembert’s principle
 
a)  Fi  Pi ri  0 b)  Fi  q i  q  0
i i

c)  P  q r  0
i i d)  F  P r  0
i i i
i i

62. If the constraints relation do not depends on velocity such constraints is


a) Non hololomic b) Rheonomic c) Hololomic d) Scleronomic

63. Schrodinger’s wave equations are


a) Governing the behaviour of em waves
b) Governing the probability behaviour of waves
c) Governing the behaviour of Complex Quantity ‘’
d) Governing the behaviour of matter waves

64. Uncertainty relations applied to


a) any dynomical variables
b) a pair of dynomical variables, the operators corresponding to which commute
c) pair of dynomical variables, the operators corresponding to which do not commute
d) ‘x’ and ‘P x’ only

65. Matter waves are


a) Longitudinal b) EM waves
c) Poilet waves d) Both Longitudinal and transvers

66. The voltage gain of a transistor connected in common-collector mode is :


a) Always equal to 1 b) Less than 1 c) More than 1 d) None of these

67. An intrinsic semiconductor at 300 K has equal hole and electron concentrations each of
410 16/m3. On doping, the electron concentration increased to 81026/m3. The new hole
concentration in doped semiconductor is :
a) 0.51026/m3 b) 41016/m3 c) 2106/m3 d) 8106/m3

68. The output of the given logic gate is :

a) XOR b) AND c) OR d) NAND

69. The amplifier has a gain of 40. When the feedback is applied, the gain falls to 20. Then the
value of feedback ratio is :
a) 0.02 b) 0.025 c) 1 d) 0.5

70. The decimal equivalent value for binary number (1101110)2 is :


a) (111)10 b) (110)10 c) (220)10 d) (222)10

71. What is the mass number A of a nucleus whose radius r = 2.71 fermi?
(Given that r0 = 1.310–15 m)
a) A = 6 b) A = 7 c) A = 8 d) A = 9

Ver-C : PY 8 of 11
72. The nucleus radius of the order of
a) 10–10 m b) 10–14 m c) 10–12 m d) 10–8 m

73. Commonly use moderator in nuclear reactors is/are


a) heavy water b) ordinary water c) graphite d) All of these

74. If 3.6g of Uranium be completely converted into energy, how many kilowatts of energy will be
obtained from it?
a) 9107 Kilowatt – hours b) 9106 Kilowatt – hours
5
c) 910 Kilowatt – hours d) 9104 Kilowatt – hours

75. Radius ‘R’ of a nucleus changes with the nucleon number ‘A’ of the nucleus as :
a) r  r0 A 2 / 3 b) r  r0 A1/ 3 c) r  r0 A 3 / 2 d) r  r0 A 1 / 3

76. As an object approaches the speed of light it’s mass becomes


a) zero b) Double c) Remains same d) Infinite

77. The energy which an electron possesses at 0 K is


a) Valance Energy b) Fermi Energy c) Conduction Energy d) Kinetic Energy

78. What happens when moisture gets into the insulating material?
a) It increases dielectric constant b) It increases the insulation resistance
c) It increases the dielectric strength d) It increases the dielectric loss

79. Soft magnetic materials line iron and its alloy are used in the manufacture of
a) Permanent Magnets
b) Magnets for toys
c) Magnets used in measuring meters of current and voltage
d) Cores of transformers employed in power generation.

80. In a pure semiconductor the charge carriers are


a) Holes only b) Electrons only
c) Both Holes and Electrons d) All of these

81. A wire of 1.2m long has mass of 0.012 kg attached to it. If the wire is under tension of 1600N,
then the speed of transverse wave is
a) 200 m/s b) 800 m/s c) 600 m/s d) 400 m/s

82. In Doppler effect, the change in frequency depends on the following :


a) Distance between source and listener b) Speeds of source and listener
c) Density of air d) Temperature of the medium

83. A free particle is oscillating in a straight line. The maximum velocity attains during any
oscillation is 60 m/s. The angular frequency of oscillation is : (Given amplitude of
oscillation = 1 m)
a) 60 rad/s b) 40 rad/s c) 30 rad/s d) 120 rad/s

Ver-C : PY 9 of 11
84. When a sound wave enters from one medium to another, which of the following quantity does
not change?
a) Wavelength b) Speed c) Frequency d) None of these

85. If x(w) represents the Fourier transform of an imaginary signal x(t), then which of the
following statement is true:
a) x(w) will be conjugate symmetric in nature
b) x(w) will be conjugate anti-symmetric in nature
c) Real part of x(w) will be even function of w
d) Imaginary part of x(w) will be odd function of w

86. A wave front is defined as a surface of _______ phase.


a) constant b) increasing c) decreasing d) time variable

87. If red light is replaced by blue light illuminating the object in a microscope, the revolving
power of the microscope will ________.
a) decrease b) increase c) get halved d) remain unchanged

88. The principle of Laser action involves


a) stimulated emission
b) population inversion
c) Amplification of particular frequency emitted by the system
d) All of the above

89. In optical fibers, the Rayleigh scattering is proportional to


1 1 1 1
a) b) 2 c) 3 d)
   4

90. The holograms found on credit-cards are an example of ________


a) Volume Holograms b) Reflection Holograms
c) Rainbow Holograms d) Hybrid Holograms

91. The value of acceleration due to gravity at a height of 10 km from the surface of earth is ‘x’, at
what depth inside the earth is the value of acceleration due to gravity has the same value of ‘x’.
a) 10 km b) 15 km c) 20 km d) 5 km

92. Bulk modulus related with Young’s modulus and Rigidity modulus by the relation.
9K
a) Y  b) Y = 2(1 + K)
  3k
2
c) Y = 3K(1 + 2) d) K 
3Y

93. A Good Elastic material have


a) Low elongation stress required to make elongation
b) More elongation stress required to cause less elongation
c) Low yield point
d) Low value of Young’s modulus

Ver-C : PY 10 of 11
94. A satellite is orbiting close to the earth and has kinetic energy ‘K’ the minimum energy
required to just overcome the gravitational pull of earth.
a) 2K b) 2 2 c) K d) 3 K

95. Oil spreads over the surface of water where as water does not spreads over the surface of
water, due to
a) surface tension of water is very high b) surface tension of water is very low
c) Viscosity of oil is high d) Viscosity of water is high

96. The speed V of the molecules of mass m of an ideal gas obeys Maxwell’s velocity distribution
law at an equilibrium temperature T. Let (Vx , Vy , Vz) deviate the components of the velocity
and kB the Boltzman constant. The average value of (Vx – Vy)2 , where  and  are
constants is ________
a) (2 – 2)/kBTm b) (2 + 2)kBT/m c) ( + )2 kBT/m d) ( – )2kBT/m

97. Let W be the work done in a quasistatic reversible thermodynamic process. Which of the
following statement about W is correct?
a) W is a perfect differential if the process is isothermal.
b) W is a perfect differential if the process is adiabatic.
c) W is always a perfect differential.
d) W cannot be a perfect differential.

98. Consider the melting transition of ice into water at constant pressure. Which of the following
thermodynamic quantities does not exhibit a discontinuous change across the phase transition?
a) Internal energy b) Helmholtz free energy c) Gibbs free energy d) Entropy

99. The entropy of a system (s), is related to the accessible phase space volume  by
S = kB ln (E, N, V) where E, N, V are the energy, number of particles and volume
respectively. From this one can conclude that 
a) does not change during evolution to equilibrium
b) oscillates during evolution to equilibrium
c) is a maximum at equilibrium
d) is a minimum at equilibrium

100. Ten grams of ice at 0C is added to a beaker containing 30 grams of water at 25C. What is the
final temperature of the system when it comes to thermal equilibrium? (The specific heat of
water is 1 cal/gm/C and latent heat of welting of ice is 80 cal/gm).
a) 0C b) 7.5C c) 12.5C d) –1.25C

*****

Ver-C : PY 11 of 11
VTU-ETR Seat No. Question Paper Version : D

Visvesvaraya Technological University, Belagavi


Eligibility Test for Research (VTU-ETR) Programmes
Ph.D./M.S. (Research) August – 2023
Physics
Time: 3 hrs. Max. Marks: 100

INSTRUCTIONS TO THE CANDIDATES


1. Ensure that the question paper booklet issued to you is of your opted discipline.
2. If your name, ETR number, OMR No., branch and branch code are not already printed on
the OMR answer sheet, write them in clear handwriting in the space provided.
3. The question paper has 100 multiple choice questions. Each question carries one mark.
4. All the questions are compulsory.
5. Missing data, if any, may be suitably assumed.
6. There shall be no negative marking for wrong answers.
7. The examinees shall select the response which they want to mark/indicate on the response
sheet and shade/darken/blacken completely the inside area of the corresponding checkbox
bubble of circular or oval shape.
8. Candidates should use black ball point pen to shade the checkbox bubble so that it is fully
dark and the computer can detect without fail. Shading should be limited to the checkbox
bubble only.
9. Shading of multiple checkbox bubbles shall be treated as invalid answer.
10. Partial or incomplete shading/darkening of the bubble be avoided.
11. Use of whiteners/correction fluid to change the shaded/filled checkbox bubble to fill another
is prohibited.
12. Erasing of filled checkbox bubble/s to fill another is prohibited.
13. Any type of writing, scribbling etc., on the question paper and ticking the response of a
question/s are prohibited. Violation of this condition shall lead to disciplinary action like
debar from the examination. Also, the OMR answer sheet shall not be considered for
evaluation process.
14. Only non-programmable scientific calculator is permitted. Violation of this condition shall
lead to disciplinary action like debar from the examination. Also, the OMR answer sheet
shall not be considered for evaluation process.
15. Folding/crushing/mutilating of OMR sheet is not permitted.
16. Handover the OMR sheet to the Room Invigilator while leaving the examination hall.

PART – I
PART – I
(Research Methodology)
[50 Marks]

1. The ANOVA technique is important in the context of all those situations where all want to
compare ______
a) Two population b) More than two populations
c) Less than two populations d) Single population.

2. Analysis of variance in which only ______ is used to analyze the difference between more than
two population means is called one way anova.
a) Two criterion (variable)
b) One criterion (variable)
c) Both two criterion (variable) and one criterion (variable)
d) None of these.

3. The basic principle of ANOVA is to test for differences among the ______ by examining the
______ within each of these samples, relative to the amount of variation between the samples.
a) Means of the populations and amount of variation
b) Estimation of the population and amount of variation
c) Means of the samples and amount of variation
d) Samples and amount of variation.

4. While applying the ANOVA techniques, the influence the uncontrolled variable is usually
removed by _______
a) Multiple regression method b) Simple linear regression method
c) One way ANOVA d) All of these

5. What are the other assumptions in ANOVA ______


a) Various treatment groups are selected at random from the population.
b) The groups are homogeneous in variability.
c) The regression is linear and is from group to group.
d) All of these.

6. Regression analysis helps to determine ______ to measure the variability or spread of values of
a dependent variable with respect to the regression line.
a) Independent value b) Dependent value
c) Linear regression d) Standard error of estimate.

7. Regression models are used for several purposes, including the following_______
a) Data description
b) Parameter Estimation
c) Linear regression and standard error of estimate
d) All of these.

Ver-D : PY 1 of 11
8. Factor analysis is by for the most often used _______ of research studies, specially pertaining to
social and behavioural sciences.
a) Multi functional technique b) Multi lateral technique
c) Multi linear d) Multivariate technique.

9. _______ , in the context of factor analysis, is something like staining a microscope slide.
a) Flipping b) Factoring
c) Rotation d) Synchronizing.

10. In _______, the correlations are computed between pairs of respondents instead of pairs of
variables.
a) Q-type factor analysis b) P-type factor analysis
c) R-type factor analysis d) S-type factor analysis.

11. What is the significance of research?


a) Gathering information b) Solving problems
c) Formulating theories d) Analyzing data

12. Which of the following best defines research?


a) Systematic investigation b) A random experiment
c) A personal opinion d) An intuitive guess

13. Which of the following is NOT an objective of research?


a) Exploring new phenomena b) Developing new theories
c) Testing pre conceived notions d) Proving personal beliefs.

14. What is the difference between research methods and research methodology?
a) Methods are practical techniques, while methodology is the theoretical framework.
b) Methods focus on data analysis, while methodology focuses on data collection.
c) Methods are used in natural sciences, while methodology is used in social sciences.
d) Methods are objective, while methodology is subjective.

15. What are the criteria of good research?


a) Replicability, Objectivity and Reliability
b) Creativity, Subjectivity and Originality
c) Simplicity, brevity, and clarity
d) Validity, Complexity and comprehensiveness

16. What is the purpose of reviewing the literature in research?


a) To validate the researcher’s hypothesis b) To identify gaps in existing knowledge
c) To find short cuts for conducting research d) To plagiarize ideas from previous studies.

17. What is the role of a theoretical framework in research?


a) It provides a structure for organizing the literature review.
b) It establishes the research objectives and hypotheses.
c) It guides the data collection and analysis process.
d) It helps in selecting the appropriate research design.

Ver-D : PY 2 of 11
18. What is the meaning of research design?
a) The overall plan for conducting a research study.
b) The specific research method used in data collection.
c) The Statistical analysis technique used in research.
d) The process of formulating research questions.

19. Which of the following is an important principle of experimental designs?


a) Random sampling of participants b) Use of control groups
c) Longitudinal data collection d) Qualitative data.

20. What is the need for research design?


a) It helps in determining the sample size
b) It ensures the accuracy of data analysis.
c) It provides a structure for conducting research
d) It minimizes the ethical concerns in research.

21. If the outcome of an experiment is certain, that is the outcome is always the same, it is then a
______
a) Probabilistic Experiment b) Quasi Experiment
c) Deterministic Experiment d) Random Experiment.

22. The probability of the occurrence of a single event, such as P(A) or P(B), which takes a specific
value irrespective of the values of other events, i.e. unconditioned on any other events, is called
______
a) Joint Probability b) A marginal probability
c) Conditional Probability d) Unconditional Probability.

23. When the sample space S is countable, it is known as a ______


a) Discrete sample space b) Continuous sample space
c) Asynchronous sample space d) Synchronous sample space.

24. If two or more events cannot occur simultaneously in a single trail of an experiment, then such
events are called _______
a) Mutually exclusive events or disjoint events b) Collectively exhaustive events
c) Both A and B d) Joint events.

25. The _______ is that value that occurs most often or has the greatest probability of occurring.
a) Mean of a random variable b) Mode of a random variable
c) Median of a random variable d) None of these

26. Two events are mutually exclusive if the occurrence of one of them prevents or rules out the
occurrence of the other is called _______
a) Collectively exhaustive events b) Mutually exclusive events
c) Both A and B d) None of these.

27. Binomial probability distribution is a widely used probability distribution where ______
a) There are only two possible outcomes b) There exists discrete random variable
c) it’s a Bernoulli process d) All of these

Ver-D : PY 3 of 11
28. Mean  and standard deviation  are called parameters of ________
a) Normal distribution b) Binomial
c) Bernoulli Process d) Poisson

29. The Poisson process measures the number of occurrences of a particular outcome of a discrete
random variable in a predetermined _______
a) Time interval b) Space
c) Volume d) All of these

30 In the _______ process, the random variable values need counting. Such a count might be
number of telephone calls per hour coming into the switchboard, number of fatal traffic
accidents per week in a city/state etc. and so on.
a) Binomial distribution b) Normal distribution
c) Bayesian d) Poisson

31. What is the difference between a parameter and a statistic?


a) Parameters describe populations, while statistics describe samples.
b) Parameters are qualitative, while statistics are quantitative.
c) Parameters are based on theory, while statistics are based on observation.
d) Parameters are mode reliable than statistics.

32. What is the central limit theorem?


a) It states that the sample mean approaches the population mean as the sample size increases.
b) It explains the relationship between the mean and standard deviation of a sample.
c) It ensures that the sampling distribution is normally distributed.
d) It allows for the estimation of population parameters based on sample statistics.

33. What is the standard error?


a) The standard deviation of the population.
b) The standard deviation of the sample.
c) The measure of sampling error.
d) The measure of non-sampling error.

34. What is the purpose of finite population correction?


a) To adjust for sampling bias.
b) To account for non-response error.
c) To correct for measurement error.
d) To adjust the standard error for small populations.

35. What does statistical inference involve?


a) Making predictions about the future based on past data.
b) Estimating population parameters from sample statistics.
c) Analyzing the relationship between variables.
d) Describing and summarizing data.

Ver-D : PY 4 of 11
36. If terms such as, ‘positive’, ‘negative’, ‘more than’, ‘less than’ etc are used to make a statement,
then such a hypothesis is called…..
a) Relational hypotheses b) Causal hypothesis
c) Research hypothesis d) Directional hypothesis.

37. The tests of significance or test statistic are classified into…..


a) Parametric test
b) Non parametric test
c) Both parametric and nonparametric tests
d) None of these.

38. A two-tailed test rejects the null hypothesis if the sample mean is significantly____ than the
hypothesized value of the mean of the population.
a) Higher b) Lower c) Higher or lower d) None of these

39. _________ is a way to test for comparing two related samples, involving small values of ‘n’ that
does not require the variances of the two populations to be equal.
a) Z-test b) Paired t – test c) f-test d) None of these

40. As a test of independence, X2 test enables us to explain _______


a) Whether or not two attributes are associated b) The fit is considered to be a good one
c) Whether test is significant d) None of these

41. What is the difference between a sample survey and a census survey?
a) Sample survey includes the entire population, while census survey includes a subset.
b) Sample survey is conducted using questionnaires while census surveys use interviews.
c) Sample survey is less accurate than census survey.
d) Sample survey is more expensive than census survey.

42. What are the types of sampling designs?


a) Probability sampling and non probability sampling.
b) Cluster sampling and convenience sampling.
c) Snowball sampling and purposive sampling.
d) Quota sampling and stratified sampling.

43. Which of the following is NOT a classification of measurement scales?


a) Normal Scale b) Ordinal scale c) Interval scale d) Hierarchical scale

44. What are the sources of error in measurement?


a) Systematic error and random error b) Measurement bias and sampling error
c) Observer bias and response bias d) Internal validity and external validity.

45. What is the purpose of scaling in research?


a) To measure the central tendency of data
b) To determine the reliability of measurements
c) To assign numbers to represent characteristics
d) To calculate statistical significance.

Ver-D : PY 5 of 11
46. What is the process of data preparation in research?
a) Collecting data from primary sources. b) Analyzing data using statistical software.
c) Cleaning and organizing data for analysis. d) Conducting data visualization techniques.

47. Which of the following is NOT a problem in the data preparation process?
a) Handling missing values b) Dealing with outliers
c) Ensuring data privacy d) Checking data accuracy.

48. What are the measures of central tendency?


a) Mean, Median and mode
b) Variance, standard deviation and range
c) Skewness, Kurtosis and correlation
d) Probability, confidence interval and hypothesis testing.

49. What do measures of dispersion indicate in research?


a) The shape of the data distribution b) The spread or variability of the data
c) The central value of the data set d) The relationship between variables.

50. What is the purpose of descriptive statistics?


a) To summarize and describe data b) To test hypotheses and make inferences
c) To establish causal relationships d) To predict future outcomes.

Ver-D : PY 6 of 11
PART – II
Discipline Oriented Section
(Physics)

[50 MARKS]
51. What is the mass number A of a nucleus whose radius r = 2.71 fermi?
(Given that r0 = 1.310–15 m)
a) A = 6 b) A = 7 c) A = 8 d) A = 9

52. The nucleus radius of the order of


a) 10–10 m b) 10–14 m c) 10–12 m d) 10–8 m

53. Commonly use moderator in nuclear reactors is/are


a) heavy water b) ordinary water c) graphite d) All of these

54. If 3.6g of Uranium be completely converted into energy, how many kilowatts of energy will be
obtained from it?
a) 9107 Kilowatt – hours b) 9106 Kilowatt – hours
c) 9105 Kilowatt – hours d) 9104 Kilowatt – hours

55. Radius ‘R’ of a nucleus changes with the nucleon number ‘A’ of the nucleus as :
a) r  r0 A 2 / 3 b) r  r0 A1/ 3 c) r  r0 A 3 / 2 d) r  r0 A 1 / 3

56. As an object approaches the speed of light it’s mass becomes


a) zero b) Double c) Remains same d) Infinite

57. The energy which an electron possesses at 0 K is


a) Valance Energy b) Fermi Energy c) Conduction Energy d) Kinetic Energy

58. What happens when moisture gets into the insulating material?
a) It increases dielectric constant b) It increases the insulation resistance
c) It increases the dielectric strength d) It increases the dielectric loss

59. Soft magnetic materials line iron and its alloy are used in the manufacture of
a) Permanent Magnets
b) Magnets for toys
c) Magnets used in measuring meters of current and voltage
d) Cores of transformers employed in power generation.

60. In a pure semiconductor the charge carriers are


a) Holes only b) Electrons only
c) Both Holes and Electrons d) All of these

61. The value of acceleration due to gravity at a height of 10 km from the surface of earth is ‘x’, at
what depth inside the earth is the value of acceleration due to gravity has the same value of ‘x’.
a) 10 km b) 15 km c) 20 km d) 5 km

Ver-D : PY 7 of 11
62. Bulk modulus related with Young’s modulus and Rigidity modulus by the relation.
9K
a) Y  b) Y = 2(1 + K)
  3k
2
c) Y = 3K(1 + 2) d) K 
3Y

63. A Good Elastic material have


a) Low elongation stress required to make elongation
b) More elongation stress required to cause less elongation
c) Low yield point
d) Low value of Young’s modulus

64. A satellite is orbiting close to the earth and has kinetic energy ‘K’ the minimum energy
required to just overcome the gravitational pull of earth.
a) 2K b) 2 2 c) K d) 3 K

65. Oil spreads over the surface of water where as water does not spreads over the surface of
water, due to
a) surface tension of water is very high b) surface tension of water is very low
c) Viscosity of oil is high d) Viscosity of water is high

66. The speed V of the molecules of mass m of an ideal gas obeys Maxwell’s velocity distribution
law at an equilibrium temperature T. Let (Vx , Vy , Vz) deviate the components of the velocity
and kB the Boltzman constant. The average value of (Vx – Vy)2 , where  and  are
constants is ________
a) (2 – 2)/kBTm b) (2 + 2)kBT/m c) ( + )2 kBT/m d) ( – )2kBT/m

67. Let W be the work done in a quasistatic reversible thermodynamic process. Which of the
following statement about W is correct?
a) W is a perfect differential if the process is isothermal.
b) W is a perfect differential if the process is adiabatic.
c) W is always a perfect differential.
d) W cannot be a perfect differential.

68. Consider the melting transition of ice into water at constant pressure. Which of the following
thermodynamic quantities does not exhibit a discontinuous change across the phase transition?
a) Internal energy b) Helmholtz free energy c) Gibbs free energy d) Entropy

69. The entropy of a system (s), is related to the accessible phase space volume  by
S = kB ln (E, N, V) where E, N, V are the energy, number of particles and volume
respectively. From this one can conclude that 
a) does not change during evolution to equilibrium
b) oscillates during evolution to equilibrium
c) is a maximum at equilibrium
d) is a minimum at equilibrium

Ver-D : PY 8 of 11
70. Ten grams of ice at 0C is added to a beaker containing 30 grams of water at 25C. What is the
final temperature of the system when it comes to thermal equilibrium? (The specific heat of
water is 1 cal/gm/C and latent heat of welting of ice is 80 cal/gm).
a) 0C b) 7.5C c) 12.5C d) –1.25C

71. Which is the correct form of D’Alembert’s principle


 
a)  Fi  Pi ri  0 b)  Fi  q i  q  0
i i

c)  P  q r  0
i i d)  F  P r  0
i i i
i i

72. If the constraints relation do not depends on velocity such constraints is


a) Non hololomic b) Rheonomic c) Hololomic d) Scleronomic

73. Schrodinger’s wave equations are


a) Governing the behaviour of em waves
b) Governing the probability behaviour of waves
c) Governing the behaviour of Complex Quantity ‘’
d) Governing the behaviour of matter waves

74. Uncertainty relations applied to


a) any dynomical variables
b) a pair of dynomical variables, the operators corresponding to which commute
c) pair of dynomical variables, the operators corresponding to which do not commute
d) ‘x’ and ‘Px’ only

75. Matter waves are


a) Longitudinal b) EM waves
c) Poilet waves d) Both Longitudinal and transvers

76. The voltage gain of a transistor connected in common-collector mode is :


a) Always equal to 1 b) Less than 1 c) More than 1 d) None of these

77. An intrinsic semiconductor at 300 K has equal hole and electron concentrations each of
410 16/m3. On doping, the electron concentration increased to 81026/m3. The new hole
concentration in doped semiconductor is :
a) 0.51026/m3 b) 41016/m3 c) 2106/m3 d) 8106/m3

78. The output of the given logic gate is :

a) XOR b) AND c) OR d) NAND

79. The amplifier has a gain of 40. When the feedback is applied, the gain falls to 20. Then the
value of feedback ratio is :
a) 0.02 b) 0.025 c) 1 d) 0.5

80. The decimal equivalent value for binary number (1101110)2 is :


a) (111)10 b) (110)10 c) (220)10 d) (222)10

Ver-D : PY 9 of 11
81. The vector potential at the position defined by a vector r in a uniform magnetic field may be
written as
a) B r
1
2
 
b) B  r c) B r  
d)  B r

82. An alternating emf is given by V = 400 sin(100nt) Volts. The rms value of the emf is
a) 400 V b) 200 2 V c) 200 V d) 100 2 V

83. Which of the following alloy is widely used in thermocoupled?


a) Brass b) Bronze c) Duralium d) Nichrome

84. Coefficient of coupling between two tightly coupled coils wound on a magnetic core is
a) zero b) 0.5 c) 1 d) 0.6

85. Which of the following is not the Maxwell’s equation?


a) div D =  b) div B   0 J
B D
c) curl E  d) curl H  J 
t t

86. The common wave number difference in the two successive rotational lines is
h h h h
a) 2
b) 2
c) 2
d) 2
8 I C 4 I C 2 I C  IC

87. The value of the Lande g-factor for a fine structure level defined by the quantum number
L = 1, J = 2 and S = 1 is
a) 5/2 b) 3/2 c) 5/3 d) 11/3

88. Atomic packing factor of a simple cubic structure is


a) 0.42 b) 0.52 c) 0.62 d) 0.72

89. Raman shift depends upon


a) Incident intensity b) Resolving power of spectrograph used
c) Molecular energy level of scatterer d) Incident wavelength

90. Penetrating power of X-rays can be increased by


a) Increasing the potential difference between anode and cathode
b) Decreasing the potential difference between anode and cathode
c) Increasing cathode filament current
d) Decreasing cathode filament current

91. A wire of 1.2m long has mass of 0.012 kg attached to it. If the wire is under tension of 1600N,
then the speed of transverse wave is
a) 200 m/s b) 800 m/s c) 600 m/s d) 400 m/s

92. In Doppler effect, the change in frequency depends on the following :


a) Distance between source and listener b) Speeds of source and listener
c) Density of air d) Temperature of the medium

Ver-D : PY 10 of 11
93. A free particle is oscillating in a straight line. The maximum velocity attains during any
oscillation is 60 m/s. The angular frequency of oscillation is : (Given amplitude of
oscillation = 1 m)
a) 60 rad/s b) 40 rad/s c) 30 rad/s d) 120 rad/s

94. When a sound wave enters from one medium to another, which of the following quantity does
not change?
a) Wavelength b) Speed c) Frequency d) None of these

95. If x(w) represents the Fourier transform of an imaginary signal x(t), then which of the
following statement is true:
a) x(w) will be conjugate symmetric in nature
b) x(w) will be conjugate anti-symmetric in nature
c) Real part of x(w) will be even function of w
d) Imaginary part of x(w) will be odd function of w

96. A wave front is defined as a surface of _______ phase.


a) constant b) increasing c) decreasing d) time variable

97. If red light is replaced by blue light illuminating the object in a microscope, the revolving
power of the microscope will ________.
a) decrease b) increase c) get halved d) remain unchanged

98. The principle of Laser action involves


a) stimulated emission
b) population inversion
c) Amplification of particular frequency emitted by the system
d) All of the above

99. In optical fibers, the Rayleigh scattering is proportional to


1 1 1 1
a) b) 2 c) 3 d)
   4

100. The holograms found on credit-cards are an example of ________


a) Volume Holograms b) Reflection Holograms
c) Rainbow Holograms d) Hybrid Holograms

*****

Ver-D : PY 11 of 11

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