Q. Two springs have force constants $k_{1}$ and $k_{2}$. There are extended through the same distance $x$. If their elastic energies are $E_{1}$ and $E_{2}$, then $\frac{E_{1}}{E_{2}}$ is equal to

A) $k_{1}:k_{2}$
B) $k_{2}:k_{1}$
C) $\sqrt{k_{1}}:\sqrt{k_{2}}$
D) $k_{1}^{2}:k_{2}^{2}$
Explanation

(a) $E = \frac{1}{2}kx^{2}$
$\therefore\ \ E \propto k$
$\therefore\ \ \frac{E_{1}}{E_{2}} = \frac{k_{1}}{k_{2}}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.