Home Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 15 PCM When a train of plane wave traverses a mediu…
Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 15 PCM Numeric Response
Published on: August 13, 2026

When a train of plane wave traverses a medium, individual particle execute periodic motion given by the equation

Where the lengths are expressed in cm and time in second. Calculate the phase difference (in degree) for two positions of the same particle which are occupied at time intervals 0.4 second apart.

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Text Solution

Verified by Experts
The correct answer is:
72

(72)

The equation of a wave motion is given by

…… .(i)

Here
This equation can be written as

…… .(ii)

Comparing equation-(ii) with equation-(i), we get amplitude ; wavelength ; wave velocity .
Here frequency is given as

Phase of a particle at instant is given by

The phase at instant is given by

The phase difference is given as

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