First slide

Work done by Diff type of forces

Question

The force required to stretch a spring varies with the distance as shown in the figure . If the experiment is performed with the above spring of half the length, the line OA will

Easy

A

shift towards F -axis
B

shift towards X-axis
C

remain as it is
D

become double in length

Solution

Spring constant, $k = \frac{F}{x} = slope of F - x graph.$
$k \propto \frac{1}{l}$ $(∵ x ≃ 0)$
Length is reduced to half. Therefore, k will become two times. Slope will increase. Hence, the line OA will shift
towards F-axis.

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