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Q.15.11 The transverse displacement of a string (clamped at its both ends) is given by

 y(x,t)=0.06\; \sin (\frac{2\pi }{3}x)\cos (120\; \pi t)

where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0\times 10^{-2}\; kg.

Answer the following :

(a) Does the function represent a travelling wave or a stationary wave?
 

Answers (1)

best_answer

The given function is of the following form

y(x,t)=2Asin\left (kx \right )cos(\omega t)

which is the general equation representing a stationary wave and therefore the given function represents a stationary wave.

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Sayak

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