question_answer

The total energy of a particle, executing simple harmonic motion is               [AIEEE 2004]

A)  \[\propto x\]                 

B)       \[\propto \,{{x}^{2}}\]

C)  Independent of\[x.\]

D)  \[\propto {{x}^{1/2}}\] where,\[x\]is the displacement from the mean position.

Correct Answer: C

Solution :

[c] In simple harmonic motion when a particle is displaced to a position from its mean position, then its kinetic energy gets converted into potential energy. Hence, total energy of a particle remains constant or the total energy in simple harmonic motion does not depend on displacement. It fact it depends on the amplitude.

Total energy in.