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Given E as th...

Question

Given E as the Young's modulus of elasticity of a material, what can be the minimum value of its bulk modulus or elasticity?

A

\frac{E}{2}

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B

\frac{E}{3}

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C

\frac{E}{4}

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D

\frac{E}{5}

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Solution

The correct option is B $\frac{E}{3}$
We know that
$E = 3 K (1 - 2 μ)$
The minimum value of $μ = 0$
$∴ E = 3 K (1 - 2 \times 0)$
$\Rightarrow K = \frac{E}{3}$

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