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1.multiple Choice Questions

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MCQ QUESTIONS

1. The number of significant figures in 0.06900 is


(a) 5
(b) 4
(c) 2
(d) 3
2. The sum of the numbers 436.32, 227.2 and 0.301 in appropriate significant figures is
(a) 663.821
(b) 664
(c) 663.8
(d) 663.82
3. The mass and volume of a body are 4.237 g and 2.5 cm​3​, respectively. The density of the
material of the body in correct significant figures is
(a) 1.6048 g cm​-3
-3
(b) 1.69 g cm​
-3
(c) 1.7 g cm​
-3
(d) 1.695 g cm​
4. The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give
(a) 2.75 and 2.74
(b) 2.74 and 2.73
(c) 2.75 and 2.73
(d) 2.74 and 2.74
5. The length and breadth of a rectangular sheet are 16.2 cm and 10.1cm, respectively. The
area of the sheet in appropriate significant figures and error is
(a) 164 ± 3 cm​2
(b) 163.62 ± 2.6 cm​2
(c) 163.6 ± 2.6 cm​2
(d) 163.62 ± 3 cm​2
6. Which of the following pairs of physical quantities does not have same dimensional
formula?
(a) Work and torque.
(b) Angular momentum and Planck’s constant.
(c) Tension and surface tension.
(d) Impulse and linear momentum.
7. Measure of two quantities along with the precision of respective measuring instrument is A
-1​
= 2.5 m s​ ± 0.5 ms​-1​ B = 0.10 s ± 0.01 s
The value of A B will be
(a) (0.25 ± 0.08) m
(b) (0.25 ± 0.5) m
(c) (0.25 ± 0.05) m
(d) (0.25 ± 0.135) m
8. You measure two quantities as A = 1.0 m ± 0.2 m, B = 2.0 m ± 0.2 m. We should report
correct value for √AB as:
(a) 1.4 m ± 0.4 m
(b) 1.41m ± 0.15 m
(c) 1.4m ± 0.3 m
(d) 1.4m ± 0.2 m
9. Which of the following measurements is most precise?
(a) 5.00 mm
(b) 5.00 cm
(c) 5.00 m
(d) 5.00 km.
10. The mean length of an object is 5 cm. Which of the following measurements is most
accurate?
(a) 4.9 cm
(b) 4.805 cm
(c) 5.25 cm
(d) 5.4 cm
11. Young’s modulus of steel is 1.9 × 10​11​ N/m​2​. When expr essed in CGS units of dynes/cm2,
it will be equal to (1N = 10​5​ dyne, 1m​2​ = 10​4​ cm​2​)
10
(a) 1.9 × 10​
11
(b) 1.9 × 10​
12
(c) 1.9 × 10​
13
(d) 1.9 × 10​
12. If momentum (P ), area (A) and time ( T ) are taken to be fundamental quantities, then
energy has the dimensional formula
1​ -1​ 1​
(a) (P​ A​ T​)
2​ 1​ 1​
(b) (P​ A​ T​)
2​ -1/2​ 1​
(c) (P​ A​ T​)
1​ 1/2​ -1​
(d) (P​ A​ T​)

13. On the basis of dimensions, decide which of the following relations for the displacement of
a particle undergoing simple harmonic motion is not correct:

14. If P, Q, R are physical quantities, having different dimensions, which of the following
combinations can never be a meaningful quantity?
(a) (P – Q)/R
(b) PQ – R
(c) PQ/R
2​
(d) (PR – Q​ )/R
(e) (R + Q)/P
15. Photon is quantum of radiation with energy E = hν where ν is frequency and h is Planck’s
constant. The dimensions of h are the same as that of
(a) Linear impulse
(b) Angular impulse
(c) Linear momentum
(d) Angular momentum
16. If Planck’s constant (h ) and speed of light in vacuum (c ) are taken as two fundamental
quantities, which one of the following can, in addition, be taken to express length, mass and time in
terms of the three chosen fundamental quantities?
(a) Mass of electron (m​e​)
(b) Universal gravitational constant (G)
(c) Charge of electron (e)
(d) Mass of proton (m​p​)
17. Which of the following are not a unit of time?
(a) Second
(b) Parsec
(c) Year
(d) Light year
-1​ -2​
18. [ML​ T​] is the dimensional formula of (A) force (B) coefficient of friction (C) modulus of
elasticity (D) energy
19. The dimensional formula of coefficient of viscosity is
20. [MLT​-1​] (B) [M​-1​L​2​T​-2​] (C) [ML​-1​T -1​​] (D) none of these On the basis of dimensional
equation, the maximum number of unknown that can be found, is (A) one (B) two (C) three (D)
four
21. If v stands for velocity of sound, E is elasticity and d the density, then find x in the equation
v = (d/E)​x
(A) 1
(B) ½
(C) 2
(D) -1/2
22. The multiplication of 10.610 with 0.210 upto correct number of significant figure is
(A) 2.2281
(B) 2.228
(C) 2.22
(D) 2.2
23. The measurement of radius of a circle has error of 1%. The error in measurement of its area
is
(A) 1%
(B) 2%
(C) 3%
(D) none of these
24. Dimensional formula of latent heat
(A) M​0​L​2​T​-2
(B) MLT​-2
(C) ML​2​T​-2
(D) ML​2​T​-2
25. In case of measurement of ‘g’, if error in measurement of length of pendulum is 2%, the
percentage error in time period is 1 %. The maximum error in measurement of g is
(A) 1 %
(B) 2 %
(C) 4 %
(D) no error.
26. If length of pendulum is increased by 2%. The time period will
(A) increases by 1%
(B) decreases by 1%
(C) increases by 2%
(D) decreases by 2%
27. If radian correction is not considered in specific heat measurement. The measured value of
specific heat will be
(A) more than its actual value.
(B) less than its actual value.
(C) remains same as actual value.
(D) none of these.

28. The S.I. unit of universal gas constant is


(A) Watt K-1mol-1
(B) N K-1mol-1
(C) JK-1mol-1
(D) erg K-1mol-1
29. The dimensional formula of couple
(A) ML​2​T​-2
(B)MLT​-1
(C) ML​-1​T​-1
(D) M​1​L​1​T​-2

30. An experiment measures quantities a, b, c and x is calculated from . If the


maximum percentage error in a, b and c are 1%, 3% and 2% respectively, the maximum
percentage error in x will be
(A) 13%
(B) 17%
(C) 14%
(D) 11%
31. Dimensional formula of thermal conductivity is
(A) ML​2​T -3​​θ​-1
(B) ML​2​T -2​​θ​-4
(C) ML​2​T -2​​θ​-1
(D) MLT -3​​θ​-1
32. Three measurements 7.1 J, 7.2 J and 6.7 J are made as experiment the result with correct
number of significant figures is
(A) 7.1 J
(B) 7.06 J
(C) 7.0 J
(D) 7J
33. If P represents radiation pressure, c represents speed of light and Q represents radiation
energy striking a unit area per second, then non-zero integers x, y and z, such that P​x​Q​y​c​
z​
is
dimensionless, may be
(A) x = 1, y =1, z = 1.
(B) x = 1, y =-1, z = 1.
(C) x = -1, y =1, z = 1.
(D) x = 1, y = 1, z = 1
34. A spherical ball of mass m and radius r is allowed to fall in a medium of viscosity η. The
time in which the velocity of the body increases from zero to 0.63 times the terminal
velocity is called time constant (τ). Dimensionally τ can be represented by

(A)

(B)

(C)
(D) none of these.
35. Which of the following is a possible dimensionless quantity ?
(A) Velocity gradient
(B) Pressure gradient
(C) Displacement gradient
(D) Force gradient
36. In specific resistance measurement of a wire using a meter bridge, the key k in the main
circuit is kept open when we are not taking readings. The reason is
(A) the emf of cell will decrease.
(B) the value of resistance will change due to joule heating effect.
(C) the galvanometer will stop working.
(D) none of these.
37. In the experiment of verification of Ohm’s law the error in the current measurement is 1%,
while that in the voltage measurement is 2%. The error in the resistance has a maximum
value of
(A)1%
(B) 2%
(C) 3%
(D) none of these.

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