Question

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.

• A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
• B. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
• C. Assertion is correct but Reason is incorrect.
• D. Assertion is incorrect but Reason is correct.

Answer 1

Answer: (C)

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.