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Physics Wave and Sound JEE Main 2025 MCQ (Single Correct)

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 . The crest P is at at and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave?

A

B

C

D

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Text Solution

Verified by Experts
The correct answer is:
A

To find the equation of the sinusoidal wave, we need to determine several properties of the wave:

Wave Velocity (v):

Given that the wave travels a distance of 1.2 cm in 0.3 seconds, the velocity can be computed as:

Wave Number (k):

The wave number kis calculated using the wavelength :

Angular Frequency ( ):

Angular frequency is related to the wave number and velocity by the equation , thus:

Wave Equation:
The general form for a sinusoidal wave traveling in the positive x -direction is:

Given the maximum displacement (amplitude A) of the wave is 2 cm, the equation becomes:

This equation accurately describes the sinusoidal wave given the provided parameters.

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