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The displacement of a string is given by...

The displacement of a string is given by `y(x,t)=0.06sin(2pix//3)cos(120pit)` where x and y are in m and t in s. The lengthe of the string is 1.5m and its mass is `3.0xx10^(-2)kg.`

A

It represents a progressive wave of frequency `60Hz`

B

It represents a stationary wave of frequency `50Hz`

C

It is the result of superposition of two waves of wavelength `3m`, frequency `60Hz` each travelling with a speed of `180m//s` in opposite direction

D

Amplitude of this wave is constant.

Text Solution

Verified by Experts

The correct Answer is:
C
`2pif=120piimpliesf=60Hz`
`k=(2pi)/(3)=(2pi)/(lambda)`
`V=flambda=(60Hz)(3m)=180m//s`
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