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The transverse displacement of a string

Question:

The transverse displacement of a string is given by y(x,t) = 0.06 sin (2πx/3) cos (120πt). All the points on the string between two consecutive nodes vibrate with

(a) same frequency

(b) same phase

(c) same energy

(d) different amplitude

Solution:

The correct answers are

(a) same frequency

(b) same phase

(d) different amplitude

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