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The length of a cylinder is measured wit...

The length of a cylinder is measured with a metre rod having least count 0.1cm. Its diameter is measured with vernier callipers having least count 1.01 cm. Given the length is 5.0 cm and diameter is 2.00 cm. Find the percentage error in the calculated value of volume.

A

0.02

B

0.01

C

0.03

D

0.04

Text Solution

Verified by Experts

The correct Answer is:
C
`V=pir^(2)h=(piD^(2)h)/(4)rArr(DeltaV)/(V)=(2DeltaD)/(D)+(Deltah)/(h)`
`(DeltaV)/(V)xx100=[2xx((0.01)/(2.00))+((0.1)/(5.0))]xx100=3%`
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ALLEN -ERROR AND MEASUREMENT-Part-2(Exercise-1)
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  14. What is vernier constant?

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