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If longitudinal strain for a wire is 0.0...

If longitudinal strain for a wire is 0.03 and its Poisson's ratio is 0.5, then its lateral strain is

A

`0.003`

B

`0.0075`

C

`0.015`

D

`0.4`

Text Solution

Verified by Experts

The correct Answer is:
C
`(Delta l)/(l)= 0.03, sigma = 0.5`
`sigma= ((-Delta r)/(r))/((Delta l)/(l))= ("Lateral strain")/("Longitudinal strain") rArr 0.5 = (Delta r//r)/(0.03)`
`rArr (Delta r)/(r)= 0.015`
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