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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 amplitude

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
The given equation is `y(x,t)=0.06 sin ((2pix)/(3))cos (120pit)`
It represents a stationary wave. Therefore, all the points between two consecutive nodes.
(a) vibrate with same frequency
(b) in same phase, but
(d) different amplitudes. The amplitude is zero at nodes and maximum at anitnodes (betweent the nodes).
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