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The displacement of a string fixed at bo...

The displacement of a string fixed at both the ends is given by
`y= 0.8 sin ((pi x)/(3)) cos (60 pi t)`
where y and x in metres and t is in second. What is the wavelength and frequency of the two interfering waves ?

A

2m, 120 Hz

B

`(2)/(3)`m, 60Hz

C

`(3)/(2)`m, 120 Hz

D

3m, 60 Hz

Text Solution

Verified by Experts

The correct Answer is:
D
`k=(2pi)/(3)implieslambda=(2pi)/(k)=3m`
`omega=120piimpliesf=(omega)/(2pi)=60Hz`.
[as `y=Asin(kx)cos(omegat)`]
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