﻿ If C be the capacitance and V be the electric potential, then the dimensional formula of CV2 is | Units and Measurement

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Units and Measurement

Multiple Choice Questions

51.

The dimensions of resistance are same as those of where h is the Planck's constant, e is the charge.

• $\frac{{\mathrm{h}}^{2}}{{\mathrm{e}}^{2}}$

• $\frac{{\mathrm{h}}^{2}}{\mathrm{e}}$

• $\frac{\mathrm{h}}{{\mathrm{e}}^{2}}$

• $\frac{\mathrm{h}}{\mathrm{e}}$

52.If C be the capacitance and V be the electric potential, then the dimensional formula of CV2 is[ML2T-2A0] [MLT-2A-1] [M0LT-2A0] [ML-3TA]

A.

[ML2T-2A0]

We know,

Energy, E = CV2

Dimensions of CV2 = Dimensions of energy

= [ML2T-2]

53.

The dimensional formula of physical quantity is is [MaLbTc]. Then, that physical quantity is

• Spring constant if a = 1, b = −1, c = −2

• surface tension if a= 1, b = 1,c = −2

• force if a = 1, b = 1, c = 2

• angular frequency if a = 0, b = 0, c = − 1

54.

Which one of the following is not correct ?

• Dimensional formula of thermal conductivity (K) is M1L1T-3K-1

• Dimensional formula of potential (V) is M1L2T3A-1

• Dimensional formula of permeability of free space (μ0) is M1L1T-2A-2

• Dimensional formula of RC M0L0T-1

55.

A physical quantity Q is found to depend on observables x, y and z obeying relation . The percentage error in the measurements of x, y and z are 1 %, 2 % and 4 % respectively. What is percentage error in the quantity Q ?

• 4 %

• 3 %

• 11 %

• 1 %

56.

The ratio of the dimensions of Planck's constant and that of moment of inertia has the dimensions of

• angular momentum

• time

• velocity

• frequency

57.

A substance of mass 49.53 g occupies 1.5 cm3 of volume. The density of the substance (in g cm-3) with correct number of significant figures is

• 3.3

• 3300

• 3302

• 33.0

58.

A body of the mass 50 kg is suspended using a spring balance inside a lift at rest. If the lift starts falling freely, the reading of the spring balance is

• < 50 kg

• = 50 kg

• > 50 kg

• = 0

59.

The S.I. unit of specific heat capacity is

• JK-1

• J kg-1

• J mol-1 K-1

• J kg-1 K-1