NEET Physics Question - Oscillation

Assertion (A): The graph between velocity and displacement for a harmonic oscillator is a parabola.

Reason (R): Velocity does change uniformly with displacement in harmonic motion.

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:

For a harmonic oscillator, velocity \( v \) and displacement \( x \) are related by \( v = \omega \sqrt{A^2 - x^2} \). Squaring this gives \( v^2 = \omega^2 (A^2 - x^2) \), which is an equation of an ellipse, not a parabola. So (A) is false. Velocity does not change uniformly with displacement, hence (R) is also false. Thus, both A and R are false.

Rankers Physics

Harmonic Oscillator Graph

Solution:

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