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The SI unit of Young's modulus is

A$\text{N}$
B$\text{N m}^{-2}$
C$\text{N m}^{2}$
Ddimensionless
Answer & Solution
Correct answer: B. $\text{N m}^{-2}$
$Y = \text{stress}/\text{strain}$. Strain is dimensionless, so $Y$ has the units of stress: $\text{N m}^{-2}$ (i.e. Pa). The same goes for shear modulus $G$ and bulk modulus $K$.
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