Graph shows behaviour of a length of wire in region for which substance obeys Hook’s law. P an

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8.Mechanical Properties of Solids

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The graph shows the behaviour of a length of wire in the region for which the substance obeys Hook’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

Solution

(c) 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 $U = 1/2\,\,k{x^2}$or $U \propto {x^2}$.

Standard 11

Physics

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