Read the following two statements below carefully and state, with reasons, if it is true or false.
$(a)$ The Young’s modulus of rubber is greater than that of steel;
$(b)$ The stretching of a coil is determined by its shear modulus.
Read the following two statements below carefully and state, with reasons, if it is true or false.
$(a)$ The Young’s modulus of rubber is greater than that of steel;
$(b)$ The stretching of a coil is determined by its shear modulus.
(a) False
(b) True
For a given stress, the strain in rubber is more than it is in steel.
Young's modulus, $Y=\frac{\text { Stress }}{\text { Strain }}$
For a constant stress: $Y \propto \frac{1}{\text { strain }}$
Hence, Young's modulus for rubber is less than it is for steel.
Shear modulus is the ratio of the applied stress to the change in the shape of a body. The stretching of a coil changes its shape. Hence, shear modulus of elasticity is involved in this process.
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