Home Physics Wave and Sound Wave: Introduction Characteristic Equation A transverse wave is travelling along a stri…
Physics Wave and Sound Wave: Introduction Characteristic Equation MCQ (Single Correct)

A transverse wave is travelling along a string from left to right. Given figure represents the shape of the string at an instant. Choose the wrong statement for that instant.

A
Points , and have positive velocity in upward direction
B
Points and have negative velocity in downward direction
C
Points and have zero velocity
D
Points and have minimum velocity

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Text Solution

Verified by Experts
The correct answer is:
D

Particle velocity,

or wave velocity slope of the wave
For upward velocity, , so slope must negative. Points , and have negative slope.

For downward velocity, , so slope must be positive which is at the points , and .
For zero velocity, slope must be zero which is at and .
For maximum magnitude of velocity, slope maximum, At point and , the angle ( ) made by tangent from horizontal is maximum, i.e., magnitude of is maximum at and .

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