Q 11-13-054JEE MainJEE Main 2024 (4 Apr, Shift 2)Easy
In simple harmonic motion, the total mechanical energy of the given system (a particle $P$ of mass $m$ attached to a spring of constant $k$) is $E$. If the mass of the oscillating particle $P$ is doubled, then the new energy of the system for the same amplitude is
Answer: (A) $E$
The total energy of a spring oscillator is $E = \dfrac12kA^2$. It depends only on $k$ and the amplitude, not on the mass. So the energy stays $E$.
Solution by Sreeraj P, M.Sc Physics