Question

The Young's modulus of the material of a wire is $6\times {10}^{12}N/m^2$ and there is no transverse(lateral) strain in it, then its modulus of rigidity will be

• A.
• B.
• C.
• D. None of the above

Answer 1

The correct option is A.

Relation between young’s modulus and transverse strain is as follows:

$Y=2\eta (1+\sigma )$

Where, η is modulus of rigidity

And σ is transverse strain

For no transverse strain ($\sigma =0$)
$Y=2\eta$

$\Rightarrow \eta =\frac{Y}{2}=3\times {10}^{11}N/m^2$.