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The Young's modulus of the material of a...

The Young's modulus of the material of a wire is `6 xx 10^(12) N//m^(2)` and there is no transverse strain in it.then it modulus of rigidity will be

A

`10^(12) N//m^(2)`

B

`3 xx 10^(12) N//m^(2)`

C

`2 xx 10^(12) N//m^(2)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
`Y = 2 eta (1 + sigma)`
Since there is no lateral (transverse) strain, Poisson's ratio `sigma = 0 :. Y = 2 eta`
`:. eta = (Y)/(2) = (6 xx 10^(12))/(2) = 3 xx 10^(12) N//m^(2)`
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