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  4. Assertion Elongation produced in a body is directly proportional to the applied force. Reason Within the elastic limit, stress is inversely proportional to the strain.

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Q. Assertion Elongation produced in a body is directly proportional to the applied force.
Reason Within the elastic limit, stress is inversely proportional to the strain.

Mechanical Properties of Solids

Solution:

According to Hooke's law, within the elastic limit, stress is directly proportional to the strain.
i.e. Stress $\propto$ Strain
$\Rightarrow \frac{F}{A} \propto \frac{\Delta l}{l} $
$\Rightarrow F \propto \Delta l$
Hence, elongation produced in a body is directly proportional to the applied force.
Therefore, Assertion is correct but Reason is incorrect.