Two springs $A$ and $B$ having spring constant $K_{A}$ and $K_{B}\left(K_{A}=2 K_{B}\right)$ are str

Question

Two springs $A$ and $B$ having spring constant $K_{A}$ and $K_{B}\left(K_{A}=2 K_{B}ight)$ are stretched by applying force of equal magnitude. If energy stored in spring $A$ is $E_{A}$ then energy stored in $B$ will be\

Professor PC Thomas Classes · Answer

(a) : Energy $=\frac{1}{2} K x^{2}=\frac{1}{2} \frac{F^{2}}{K}$\ $\because \quad \frac{K_{A}}{K_{B}}=2 ; 	herefore \frac{E_{A}}{E_{B}}=\frac{1}{2}$ or $E_{B}=2 E_{A}$\