Q 11-13-084JEE MainJEE Main 2023 (6 Apr, Shift 1)Easy
A mass $m$ is attached to two springs as shown in figure. The spring constants of two springs are $K_1$ and $K_2$. For the frictionless surface, the time period of oscillation of mass $m$ is
Answer: (A) $2\pi\sqrt{\dfrac{m}{K_1+K_2}}$
A displacement $x$ stretches one spring and compresses the other; both push the block back: $F=-(K_1+K_2)x$.
$$T=2\pi\sqrt{\frac{m}{K_1+K_2}}$$
Solution by Sreeraj P, M.Sc Physics