Units and Measu...

The number of significant figures in all the given numbers 25.12, 2009, 4.156 and 217 × 10^–4 is

If the length of rod A is 3.25 ± 0.01 cm and that of B is 4.19 ± 0.01 cm, then the rod B is longer than rod A by

A physical quantity is given by X = M^aL^bT^c. The percentage error in measurement of M, L and T are α, β and γ respectively. Then, maximum percentage error in the quantity X is

In an experiment, to measure the height of a bridge by dropping stone into underneath, if the error in measurement of time is 0.1 s at end of 2s, then the error in estimation of height of bridge will be

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

A vernier callipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. for this Vernier callipers, the least count is

The respective number of significant figures for the numbers 23.023, 0..0003 and 2.1 × 10^–3 are

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 20%, the relative percentage error in the density is

A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1 mm o main scale corresponds to 100 divisions of the circular scale
The diameter of wire from the above data is