Rankers Physics

Waves and its Characteristics: Practice Problem & Solution

Assertion (A): In a sinusoidal travelling wave on a string potential energy of deformation of string element at extreme position is maximum. Reason (R): The particles in sinusoidal travelling wave perform 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

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Waves and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

In a wave, potential energy is stored due to deformation (strain). At extreme positions (maximum displacement), the deformation is maximum, leading to maximum potential energy. So (A) is true.


Particles in a transverse wave undergo simple harmonic motion. So (R) is true. However, (R) does not explain why potential energy is maximum at extreme positions; it's a general characteristic of the particle motion. Therefore, (R) is not the correct explanation of (A).

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