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A wave is represented by the equation ...

A wave is represented by the equation
`y=A sin314[(t)/(0.5s)-(x)/(100 m)]`
The frequency is n and the wavelength is `lambda`.Then:

A

`n=2 Hz`

B

`n=100 Hz`

C

`lambda=2m`

D

`lambda=100 m`

Text Solution

Verified by Experts

The correct Answer is:
b., c.
The equation has to be reduced to the form
`y=A sin2pi((t)/(T)-(x)/(lambda))`
`A sin314((t)/(0.5s)-(x)/(100 m))`
`A sin 2pi((50t)/(0.5s)-(x50)/(100m))`
`=A sin2pi((t)/(0.01s)-(x)/(2m))`
`n=(1)/(T)=(1)/(0.01)=100Hz`
and `lambda=2 m`
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