NEET Physics Question - Oscillation

Assertion (A): Total mechanical energy in SHM is conserved.

Reason (R): Kinetic energy of SHM at mean position is equal to potential energy at ends for a particle moving in SHM.

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

In ideal SHM, total mechanical energy is conserved because the restoring force is conservative. So (A) is true. At the mean position, \(KE_{max} = \frac{1}{2}m(A\omega)^2\), and at the ends, \(PE_{max} = \frac{1}{2}kA^2 = \frac{1}{2}m\omega^2A^2\). Thus, \(KE_{mean} = PE_{ends}\). So (R) is true. However, (R) describes a consequence of energy conservation, not the fundamental reason for it.

Rankers Physics

SHM Energy Conservation

Solution:

Leave a Reply Cancel reply