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 $O A$ will:-

shift towards

F -

axis

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shift towards

X -

axis

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remains as it is

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become double in length

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Solution

The correct option is A shift towards $F -$ axis
It is known that $k \propto \frac{1}{x} \propto \frac{1}{L}$

$∴ k \propto \frac{1}{L}$

When the length of the spring is halved, its spring constant will become double.
Slope of the 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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