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Question

Question: A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a ...

A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a constant force F is proportional to

A

1L2\frac{1}{L^{2}}

B

1L\frac{1}{L}

C

L2L^{2}

D

L

Answer

L2L^{2}

Explanation

Solution

l=FLAY=FL2ALY=FL2VYl = \frac{FL}{AY} = \frac{FL^{2}}{ALY} = \frac{FL^{2}}{VY} for a fixed volume lL2l \propto L^{2}