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Question: The length of an iron wire is L and area of cross-section is A. The increase in length is l on apply...

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

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

Answer

Increase in length is inversely proportional to A

Explanation

Solution

l=FLYA⇒l∝1Al = \frac { F L } { Y A } \Rightarrow l \propto \frac { 1 } { A }