Physics Elasticity Question 72

Question: The length of an iron wire is L and area of cross-section is A. The increase in length is l on applying the force F on its two ends. Which of the statement is correct

[NCERT 1976]

Options:

A) Increase in length is inversely proportional to its length L

B) Increase in length is proportional to area of cross-section A

C) Increase in length is inversely proportional to A

D) Increase in length is proportional to Young’s modulus

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Answer:

Correct Answer: C

Solution:

$ l=\frac{FL}{YA}\Rightarrow l\propto \frac{1}{A} $