First slide

Elastic Modulie

Question

If Poisson’s ration $(μ)$ of a substance is 0.4, The relation between Bulk modulus of elasticity (k) and modulus of rigidity $(η)$ is ______

Moderate

A

$14 η = 3 k$
B

$7 η = 3 k$
C

$9 η = 7 k$
D

$η = 2 k$

Solution

$\begin{array}{l} Y = 2 η (1 + μ) = 3 k (1 - 2 μ) \\ ∴ 2 η (1 + \frac{2}{5}) = 3 k (1 - \frac{2 \times 2}{5}) \\ \Rightarrow 14 η = 3 k \end{array}$

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