First slide

Work

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 length, the line OA will

Moderate

A

Shift towards F-axis
B

Shift towards X-axis
C

Remain as it is
D

Become double in length

Solution

When the length of spring is halved, its spring constant will becomes double. (because $k \propto \frac{1}{x} \propto \frac{1}{L} ∴ k \propto \frac{1}{L}$ )
Slope of force displacement graph gives the spring constant (k) of spring.
If k becomes double then slope of the graph increases i.e. graph shifts towards force-axis.

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