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A wave equation which gives the displace...

A wave equation which gives the displacement along the y-direction is given by `y = 10^(-4) sin(60t + 2x)` where `x and y` are in meters and `t` is time in seconds. This represents a wave

A

Travelling with a velocity of `30 m//s` in the negative x-direction

B

or wavelength `pi` metres

C

of frequency `30//pi` Hertz

D

of amlitude `10^(-4)m` travelling along the negative x-direction

Text Solution

Verified by Experts

The correct Answer is:
a., b., c.,d.
`y=10^(-4) sin (60t+2x)`
`y=a sin(omegat+kx)`
Now, `k=2, 2pi//lambda=2 or lambda=pi metre`
Again, `omega =60`
or `2pif=60` or `f=(60)/(2pi)` or `v=(30)/(pi)Hz`
Again, `v=(omega)/(k)=(60)/(2) m//s=30 m//s`
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Knowledge Check

  • A wave equation which gives the displacement along the y-direction is given by y = 10^(-4) sin(60t + 2x) where x and y are in meters and t is time in secinds. This represents a wave

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    (a) travelling with a velocity of `30m//s` in the nrgative x dierction
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  • A wave equation which given the dispplacement along the y-direction is given by , y = 10^(-4)sin (60t +2x) where x and y are in matre and t is time in second. This represents a wave

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