If the Young's modulus of the material is 3 times its modulus of rigidity then its bulk modulus of elasticity will be

Options

A. Infinity
B. `3 xx 10^(10) N//m^(2)`
C. `2 xx 10^(10) N//m^(2)`
D. Zero

Answer

A

Explanation

`Y = 2 eta (1 + eta)` and `Y = 3 eta`
`:. 3 eta = 2eta (1 + sigma) :. (3)/(2) = 1 + sigma :. sigma = (1)/(2)`
Using this value of `sigma` in Y `= 3K (1 - 2 sigma)`, we get
`K = (Y)/(3(1- 2 sigma)) = (Y)/(3 (1-1)) = oo`