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 :
Answer & explanation
Correct answer: option 1
We know : \(k \propto \frac{1}{x} \propto \frac{1}{L}\)
\(\Rightarrow k \propto \frac{1}{L}\)
If \(L \rightarrow \frac{L}{2}, \text{ } k \rightarrow 2k\)
\(k \rightarrow 2k \Rightarrow \text{graph inclines more towards the F-axis}\)