﻿ The set of physical quantities among the following which are dimensionally different is | Units and Measurement

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# Units and Measurement

#### Multiple Choice Questions

11.

Which one of the following represents the correct dimensions of the coefficient of viscosity?

• ML−1 T−2

• MLT−1

• ML−1 T−1

• ML−1 T−1

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12.

When the voltage and current in a conductor are measured as (100 ± 4) V and (5 ± 0.2) A, then the percentage of error in the calculation of resistance is

• 8 %

• 4 %

• 20 %

• 10 %

# 13.The set of physical quantities among the following which are dimensionally different isterminal velocity, drift velocity, critical velocity potential energy, work done, kinetic energy dipole moment, electric flux, electric field distintegration constant, frequency, angular velocity

C.

dipole moment, electric flux, electric field

14.

The physical quantity that does not have the dimensional formula [ML-1T-2] is

• force

• pressure

• stress

• modulus of elasticity

15.

A dorce F is applied onto a square plate of side L. If the percentage error in determining L is 2 % and that in F is 4 %, the permissible percentage error in determining the pressure is

• 2 %

• 4 %

• 6 %

• 8 %

16.

In a simple pendulum experiment, the maximum percentage error in the measurement of length is 2% and that in the observation of the time-period is 3%. Then, the maximum percentage error in determination of the acceleration due to gravity g is

• 5 %

• 6 %

• 7 %

• 8 %

17.

The pitch and the number of circular scale divisions in a screw gauge with least count 0.02 mm are respectively

• 1 mm and 100

• 0.5 mm and 50

• 1 mm and 50

• 0.5 mm and 100

18.

The quantity which has the same dimensions as that of gravitational potential is

• latent heat

• impulse

• angular acceleration

• Planck's constant

19.

The percentage error in measuring M, L and T are 1 %, 1.5% and 3% respectively. Then the percentage error in measuring the physical quantity with dimensions [ML-1 T-1] is

• 1 %

• 3.5 %

• 5.5 %

• 4.5 %

20.

The displacement of a particle moving along x-axis with respect to time t is x = at + bt2 − ct3. The dimensions of c are

• [T-3]

• [LT-2]

• [LT-3]

• [LT3]