Q 11-08-048JEE MainJEE Main 2023 (30 Jan, Shift 1)Medium
Choose the correct relationship between Poisson ratio $\sigma$, bulk modulus $K$ and modulus of rigidity $\eta$ of a given solid object:
Answer: (A) $\sigma=\dfrac{3K-2\eta}{6K+2\eta}$
Young's modulus can be written two ways: $Y=3K(1-2\sigma)=2\eta(1+\sigma)$.
$$3K-6K\sigma=2\eta+2\eta\sigma\ \Rightarrow\ \sigma=\frac{3K-2\eta}{6K+2\eta}$$
Solution by Sreeraj P, M.Sc Physics