Physics Elasticity Question 165

Question: The value of Poisson’s ratio lies between

[AIIMS 1985; MP PET 1986; DPMT 2002]

Options:

A) ?1 to $ \frac{1}{2} $

B) $ -\frac{3}{4} $ to $ -\frac{1}{2} $

C) $ -\frac{1}{2} $ to 1

D) 1 to 2

Show Answer

Answer:

Correct Answer: A

Solution:

$ Y=3K(1-2\sigma ),\ Y=2\eta (1+\sigma ) $ For $ Y=0, $ we get $ 1-2\sigma =0 $ , also $ 1+\sigma =0 $

$ \Rightarrow \sigma $ lies between $ \frac{1}{2} $ and $ -1 $ .