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21.

The mass and volume of a body are found to be 5.00 ± 0.05 kg and 1.00 ± 0.05 m 3 respectively. Then the maximum possible percentage error in its density is

6 %

3 %

10 %

5 %

22.

If F denotes force and t time, then in the equation F = at^{-1} + bt^{2}, the dimensions of a and b respectively are

[LT

^{-4}] and [LT^{-1}][LT

^{-1}] and [LT^{-4}][MLT

^{-4}] and [MLT^{-1}][MLT] and [MLT

^{-4}]

23.

A ball dropped from a height of 2 m rebounds to a height of 1.5 m after hitting the ground. Then the percentage of energy lost is

25

30

50

100

24.

The quantities RC and $\left(\frac{\mathrm{L}}{\mathrm{R}}\right)$ (where R, L and C stand for resistance, inductance and capacitance respectively) have the dimensions of

force

linear momentum

linear acceleration

time

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26.

The percentage errors in the measurement of length and time period of a simple pendulum are 1% and 2% respectively. Then the maximum error in the measurement of acceleration due to gravity is

8 %

3 %

5 %

6 %

27.

Dimensional formula of Stefan's constant is

[MT

^{-3}K^{-4}][MLT

^{-2}K^{-4}][ML

^{2}T^{-2}][MT

^{-2}L^{0}]

28.

If C is the capacitance and V is the potential, the dimensional formula for CV^{2} is

[ML

^{2}T^{-1}][ML

^{-2}T^{-3}][ML

^{2}T^{-2}][ML

^{-2}T^{-2}]

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29.

The physical quantity angular momentum has the same dimensions as that of

work

force

Planck's constant

torque

30.

The values of two resistors are R_{1} = (6 ± 0.3)kΩ and R_{2} = (10 ± 0.2)kΩ. The percentage error in the equivalent resistance when they are connected in parallel is

5.125 %

2 %

10.125 %

7 %

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