Visvesvaraya Technological University, Belagavi: VTU-ETR Seat No.: A
Visvesvaraya Technological University, Belagavi: VTU-ETR Seat No.: A
Visvesvaraya Technological University, Belagavi: VTU-ETR Seat No.: A
PART – I
PART – I
(Research Methodology)
[50 Marks]
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.
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.
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.
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
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
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.
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
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
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 0C is added to a beaker containing 30 grams of water at 25C. 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) 0C b) 7.5C c) 12.5C d) –1.25C
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
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
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
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
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
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
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
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 = 1.310–15 m)
a) A = 6 b) A = 7 c) A = 8 d) A = 9
84. If 3.6g of Uranium be completely converted into energy, how many kilowatts of energy will be
obtained from it?
a) 9107 Kilowatt – hours b) 9106 Kilowatt – hours
c) 9105 Kilowatt – hours d) 9104 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
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.
c) P q r 0
i i d) F P r 0
i i i
i i
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
97. An intrinsic semiconductor at 300 K has equal hole and electron concentrations each of
410 16/m3. On doping, the electron concentration increased to 81026/m3. The new hole
concentration in doped semiconductor is :
a) 0.51026/m3 b) 41016/m3 c) 2106/m3 d) 8106/m3
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
*****
Ver-A : PY 11 of 11
VTU-ETR Seat No. Question Paper Version : B
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.
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.
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
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.
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.
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.
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.
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.
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
Ver-B : PY 6 of 11
PART – II
Discipline Oriented Section
(Physics)
[50 MARKS]
c) P q r 0
i i d) F P r 0
i i i
i i
57. An intrinsic semiconductor at 300 K has equal hole and electron concentrations each of
410 16/m3. On doping, the electron concentration increased to 81026/m3. The new hole
concentration in doped semiconductor is :
a) 0.51026/m3 b) 41016/m3 c) 2106/m3 d) 8106/m3
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 = 1.310–15 m)
a) A = 6 b) A = 7 c) A = 8 d) A = 9
64. If 3.6g of Uranium be completely converted into energy, how many kilowatts of energy will be
obtained from it?
a) 9107 Kilowatt – hours b) 9106 Kilowatt – hours
c) 9105 Kilowatt – hours d) 9104 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
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.
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
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
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
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 0C is added to a beaker containing 30 grams of water at 25C. 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) 0C b) 7.5C c) 12.5C d) –1.25C
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
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
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
*****
Ver-B : PY 11 of 11
VTU-ETR Seat No. Question Paper Version : C
PART – I
PART – I
(Research Methodology)
[50 Marks]
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.
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
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.
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
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.
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.
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.
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
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
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
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
Ver-C : PY 7 of 11
61. Which is the correct form of D’Alembert’s principle
a) Fi Pi 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
67. An intrinsic semiconductor at 300 K has equal hole and electron concentrations each of
410 16/m3. On doping, the electron concentration increased to 81026/m3. The new hole
concentration in doped semiconductor is :
a) 0.51026/m3 b) 41016/m3 c) 2106/m3 d) 8106/m3
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
71. What is the mass number A of a nucleus whose radius r = 2.71 fermi?
(Given that r0 = 1.310–15 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
74. If 3.6g of Uranium be completely converted into energy, how many kilowatts of energy will be
obtained from it?
a) 9107 Kilowatt – hours b) 9106 Kilowatt – hours
5
c) 910 Kilowatt – hours d) 9104 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
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.
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
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
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
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
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 0C is added to a beaker containing 30 grams of water at 25C. 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) 0C b) 7.5C c) 12.5C d) –1.25C
*****
Ver-C : PY 11 of 11
VTU-ETR Seat No. Question Paper Version : D
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
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.
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.
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.
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.
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
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.
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
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.
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.
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 = 1.310–15 m)
a) A = 6 b) A = 7 c) A = 8 d) A = 9
54. If 3.6g of Uranium be completely converted into energy, how many kilowatts of energy will be
obtained from it?
a) 9107 Kilowatt – hours b) 9106 Kilowatt – hours
c) 9105 Kilowatt – hours d) 9104 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
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.
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
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 0C is added to a beaker containing 30 grams of water at 25C. 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) 0C b) 7.5C c) 12.5C d) –1.25C
c) P q r 0
i i d) F P r 0
i i i
i i
77. An intrinsic semiconductor at 300 K has equal hole and electron concentrations each of
410 16/m3. On doping, the electron concentration increased to 81026/m3. The new hole
concentration in doped semiconductor is :
a) 0.51026/m3 b) 41016/m3 c) 2106/m3 d) 8106/m3
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
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
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
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
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
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
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
*****
Ver-D : PY 11 of 11