Question

The Youngs 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

• 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 these

Answer 1

Answer: (A)

$ Y=2\eta (1+\sigma ) $ For no transverse strain $ (\sigma =0) $ $ Y=2\eta \Rightarrow n=\frac{Y}{2}=3\times {{10}^{12}}N/{{m}^{2}} $