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A vernier caliper with a least count of ...

A vernier caliper with a least count of of `0.01 cm` was used to measure diameter of cylinder as `4 cm` and a scale `(0-15cm)` with the least count of `1 mm` was used to measue a length of `5cm`. The `%` error in the measurement of volume of the cylinder is

A

`3.0`

B

`4.0`

C

`5.0`

D

`2.5`

Text Solution

Verified by Experts

The correct Answer is:
D
`V=(pid^2)/4l`
`implies(/_\V)/V=(2/_\d)/d+(/_\l)/l=(2xx0.01)/4+0.1/5=1/40`
% error is volume `=(/_\V)/Vxx100=2.5%`
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