NEET Physics Question - Oscillation

Assertion (A): In simple harmonic motion total mechanical energy can be negative also.

Reason (R): Potential energy is always negative and if it is greater than kinetic energy total mechanical energy will be negative.

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 simple harmonic motion, the total mechanical energy is \(E = frac{1}{2} kA^2\). Since the spring constant \(k\) and amplitude \(A\) are real and positive, the total energy \(E\) is always positive. Potential energy in SHM, \(U = frac{1}{2} kx^2\), is always positive or zero. Thus, both Assertion (A) and Reason (R) are false.

Rankers Physics

Mechanical energy in SHM

Solution:

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