Physics Elasticity Question 39

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

Options:

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

Show Answer

Answer:

Correct Answer: A

Solution:

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