JEE Main · 2004 · 24 Apr 2004 · Offline · Elasticity & SHM

The total energy of particle, executing simple harmonic motion is

(A) $\propto x$
(B) $\propto x^{2}$
(C)independent of $x$ ✓ Correct
(D) $\propto x^{1/2}$

Answer: (C)

Solution

The total energy of a particle in simple harmonic motion is

\frac{1}{2} k A^{2}

, set entirely by the amplitude. As it oscillates, energy shuttles back and forth between kinetic and potential forms, but the sum never changes with position. The total energy is therefore independent of the displacement

x

JEE Main · 2004 · 24 Apr 2004 · Offline · Single correct option

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