NEET Physics Question - Waves - Standing Wave in String and Organ Pipe

Assertion (A): In a hoop revolving with some angular speed \(\omega\) in horizontal plane, transverse wave may appear to be stationary.

Reason (R): Velocity of transverse wave pulse w.r.t. string may be equal and opposite to string velocity.

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:

Assertion (A) is true. If a transverse wave pulse propagates along the rotating hoop in a direction opposite to the hoop's rotation, and its speed relative to the string is equal to the string's linear speed, the wave appears stationary to a ground observer. Reason (R) provides this exact condition: if \(v_{\text{wave relative to string}} = -v_{\text{string}}\), then the net velocity relative to the lab frame is zero. Both are true and (R) correctly explains (A).

Rankers Physics

Transverse Wave in Rotating Hoop

Solution:

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