Q 11-13-074JEE MainJEE Main 2023 (24 Jan, Shift 2)Easy
A mass $m$ attached to free end of a spring executes SHM with a period of $1\ \text{s}$. If the mass is increased by $3\ \text{kg}$ the period of oscillation increases by one second, the value of mass $m$ is ______ kg.
Numerical value type. Enter your answer.
Answer: 1
$T\propto\sqrt m$: $\dfrac21=\sqrt{\dfrac{m+3}{m}}\Rightarrow4m=m+3\Rightarrow m=1\ \text{kg}$.
Solution by Sreeraj P, M.Sc Physics