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Question: The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke’...

The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke’s law. P and Q represent

A

P = applied force, Q = extension

B

P = extension, Q = applied force

C

P = extension, Q = stored elastic energy

D

P = stored elastic energy, Q = extension

Answer

P = extension, Q = stored elastic energy

Explanation

Solution

The graph between applied force and extension will be straight line because in elastic range applied force \propto extension, but the graph between extension and stored elastic energy will be parabolic in nature.

As U=12kx2U = \frac{1}{2}kx^{2} or Ux2U \propto x^{2}