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Question

# To measure the volume of a cylinderical wire, its diameter is measured by a screw gauge and is found to be 1.25 mm, and its length is measured with a vernier caliper and is found to be 5.50 cm. The least count of the screw gauge is 0.01 mm, and that of the vernier caliper is 0.01 cm.

A
Percentage error due to area is more than percentage error due to length.
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B
Number of significant figures in volume will be two.
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C
Percentage error in volume will be 1.78%.
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D
Percentage error in length is 1.6%.
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Solution

## The correct options are A Percentage error due to area is more than percentage error due to length. C Percentage error in volume will be 1.78%.A=πD24⇒δAA=2δDD=2×0.011.25=1.6100 δll=0.015.5=0.18100 V=A×l ⇒δVV=δAA+δll=1.78100

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