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JEE Main 2021 (24 Feb, Shift 1) · Shear Modulus & Poisson's Ratio

Shear Modulus & Poisson's Ratio question from JEE Main 2021 (24 Feb, Shift 1)

Q7JEE Main 2021 · 24 FEB · SHIFT 1Easy

Shear Modulus & Poisson's Ratio

If Y, K and $\eta$ are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.

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Answer: (d)

Standard relation: $\frac{9}{Y} = \frac{1}{K} + \frac{3}{\eta}$ (equivalently $Y = \frac{9K\eta}{3K+\eta}$ ).
$\frac{1}{K} = \frac{9}{Y} - \frac{3}{\eta} = \frac{9\eta - 3Y}{Y\eta}$
$K = \frac{Y\eta}{9\eta - 3Y}$
So the answer is (d).

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