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An iron bar of length \(l\) cm and cross section A cm2 is pulled by a force of F dynes from ends so as to produce an elongation \(\Delta l\) cm. Which of the following statement is correct ?

Practice this Elasticity question from Engineering Entrance Exam.

Question Details

Easy
Physics Elasticity Engineering Entrance Exam
Question

An iron bar of length \(l\) cm and cross section A cm2 is pulled by a force of F dynes from ends so as to produce an elongation \(\Delta l\) cm. Which of the following statement is correct ?

Options
A

Elongation is inversely proportional to length

B

Elongation is directly proportional to cross section A

C

Elongation is inversely proportional to cross-section

Correct
D

Elongation is directly proportional to Young’s modulus

Solution

According to Hooke’s law

\(\frac{F}{A} \propto \frac{{\Delta l}}{l}\)

\( \Rightarrow \) For same \(F\) & \(l\), \(\Delta l \propto \frac{1}{A}\)

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