﻿ Engineering Entrance Exam Question and Answers | Units and Measurement - Zigya

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# Units and Measurement

#### Multiple Choice Questions

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 + bt2, 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

25.

The number of significant figures in 0.002305 is

• 6

• 4

• 7

• 2

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-3K-4]

• [MLT-2K-4]

• [ML2T-2]

• [MT-2L0]

28.

If C is the capacitance and V is the potential, the dimensional formula for CV2 is

• [ML2T-1]

• [ML-2T-3]

• [ML2T-2]

• [ML-2T-2]

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 R1 = (6 ± 0.3)kΩ and R2 = (10 ± 0.2)kΩ. The percentage error in the equivalent resistance when they are connected in parallel is

• 5.125 %

• 2 %

• 10.125 %

• 7 %