Q. The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with above spring of half length, the line $OA$ will
A) Shift towards F-axis
B) Shift towards X-axis
C) Remain as it is
D) Become double in length
Explanation
(a) When the length of spring is halved, its spring constant will becomes double
$\left\lbrack Because\ k \propto \frac{1}{x} \propto \frac{1}{L}\therefore k \propto \frac{1}{L} \right\rbrack$
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
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.