Q. The Young’s modulus of the material of a wire is $6 \times 10^{12}\ Nm^{- 2}$ and there is no transverse strain it, then its modulus of rigidity will be
A) $3 \times 10^{12}\ Nm^{- 2}$
B) $2\ \times 10^{12}\ Nm^{- 2}$
C) $10^{12}\ Nm^{- 2}$
D) None of these
Explanation
(a) $\eta = \ \frac{Y}{2(1 + \sigma)},\ \ \sigma = 0\ $
$\therefore\ \ \eta = \frac{Y}{2} = \ \frac{6\ \times 10^{12}}{2\ } = 3 \times 10^{12}\ {Nm}^{- 2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.