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Q. Match the options in column $I$ with appropriate reasons in column $II$ .
Column - I Column - II
$\left(\right.A\left.\right)$ The shape of rubber heel changes under stress $\left(\right.p\left.\right)$ Young’s modulus of elasticity is involved
$\left(\right.B\left.\right)$ In a suspended bridge, there is a strain in the ropes by the load of the bridge $\left(\right.q\left.\right)$ Bulk modulus of elasticity is involved
$\left(\right.C\left.\right)$ In an automobile tyre, when air is compressed, the shape of tyre changes $\left(\right.r\left.\right)$ Modulus of rigidity is involved
$\left(\right.D\left.\right)$ A solid body is subjected to a deforming force $\left(\right.s\left.\right)$ All the moduli of elasticity are involved

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Solution:

The shape of rubber heel changes under stress involves modulus of rigidity as shape change without change in volume.
A – r
The strain in the ropes of a suspended bridge involves Young’s modulus of elasticity as the extension of ropes takes place due to the load of the bridge.
B – p
In a automobile tyre, bulk modulus of elasticity is involved, as the volume if the air in the tyre changes.
C – q
A solid body when subjected to a deforming force, all the moduli of elasticity are involved.