Question

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

• A. $3\times {10}^{12}N/m^2$
• B. $2\times {10}^{12}N/m^2$
• C. ${10}^{12}N/m^2$
• D. None of the above

Answer 1

The correct option is A $3\times {10}^{12}N/m^2$

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

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

Where, \[$\eta ]$is modulus of rigidity

And $\sigma$is transverse strain, $\sigma =0$

So,

$Y=2\eta$

$\eta =\frac{Y}{2}=\frac{6\times {10}^{12}}{2}=3\times {10}^{12}N/m^2$