Question

Measure of two quantities along with the precision of respective measuring instrument is A = 2.5 m s ± 0.5 ms B = 0.10 s ± 0.01 s The value of A B will be (a) (0.25 ± 0.08) m (b) (0.25 ± 0.5) m (c) (0.25 ± 0.05) m (d) (0.25 ± 0.135) m

Answer 1

Answer: option (a) or(1) is correct

Explanation:

Answer 2

Concept:

Units and Measurement

Given:

A=2.5m/s±0.5m/s,

B=0.10s±0.01s

Find:

Value of AB

Solution:

AB=(2.5m/s)(0.10s)=0.25m

ΔAB/AB=(ΔA/A+ΔB/B)=(0.5/2.5+0.01/0.10)=0.3

ΔAB=0.3×0.25m=0.075m=0.08m

The value of AB (0.25±0.8)m

Hence option A is the right answer.

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