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The transverse displacement of a string ...

The transverse displacement of a string (clamped at its both ends ) is given by `y(x,t)=0.06sin(2pix//3)cos(120pit).`
All the points on the string between two consecutive nodes vibrate with

A

same frequency

B

same phase

C

same energy

D

different amplitudes

Text Solution

Verified by Experts

The correct Answer is:
C
Comparing the given equation with the standard equation ` y = a sin ( kx) cos ( omega t)`, we find that the given equation represnets a stationary wave. In these waves all the particles on the string between two consecutive nodes vibrate with the same frequency and same phase. But as their amplitudes are different, they have different energies.
` [ E propto A^(2)]` Option (c ) is wrong.
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