Home Physics Wave and Sound Vibration of String The transverse displacement of a string clam…
Physics Wave and Sound Vibration of String MCQ (Single Correct)

The transverse displacement of a string clamped at its both ends is given by y(x, t) = 2 sin cos(100 t)

Where x and y are in cm and t is in s.

Which of the following statements is correct?

A
All the points on the string between two consecutive nodes vibrate with same frequency, phase and amplitude.
B
All the points on the string between two consecutive nodes vibrate with same frequency and phase but different amplitude
C
All the points on the string between two consecutive nodes vibrate with different frequency and phase but same amplitude.
D
All the points on the string between two consecutive nodes vibrate with different frequency, phase and amplitude.

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Text Solution

Verified by Experts
The correct answer is:
B

The given equation is

It represents a stationary wave. Therefore, all the points between consecutive be nodes vibrate with same frequency and same phase but different amplitude.

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