Assertion and Reason Question 11 – Rankers Physics
Topic: Waves
Subtopic: Waves and its Characteristics

Assertion and Reason Question 11

Assertion (A): \(Y = 2A sin kx cos \omega t\) refers to a travelling wave along -ve x-direction.
Reason (R): When a continuous travelling wave interacts with its reflection from a rigid support, forms a standing wave.
 
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:

The equation \(Y = 2A sin kx cos \omega t\) represents a standing wave, not a travelling wave. Thus (A) is false. When a travelling wave reflects from a boundary and superposes with the incident wave, a standing wave is formed. Thus (R) is true. Since (A) is false and (R) is true, none of the standard options (A true, R true; A true, R false; A false, R true; A false, R false) perfectly matches. However, given the provided options, and (A) being false, option (4) is selected as it states (A) is false, despite (R) being true.

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