The Young's modulus of the material of a wire is $6 \times {10^{12}}\,N/{m^2}$ and there is no transverse strain in it, then its modulus of rigidity will be
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(a) $Y = 2\eta (1 + \sigma )$
For no transverse strain $(\sigma = 0)$
$Y = 2\eta \Rightarrow \eta = \frac{Y}{2} = 3 \times {10^{12}}N/{m^2}$
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