Q. If Young’s modulus of elasticity Y for a material is one and half times its rigidity coefficient $\eta,$ the Poisson’s ratio $\sigma$ will be
A) $+ \frac{2}{3}$
B) $- \frac{1}{4}$
C) $+ \frac{1}{4}$
D) $- \frac{2}{3}$
Explanation
(b) Young’s modulus, $Y = \frac{3ɳ}{2}$
We know that $Y = 2ɳ(1 + \sigma)$
$\therefore\ \frac{3ɳ}{2} = 2ɳ(1 + \sigma)$
⟹ $\ \ \sigma = - \frac{1}{4}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.