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The displacement y of a wave travelling ...

The displacement `y` of a wave travelling in the x-direction is given by
`y = 10^(-4) sin ((600t - 2x + (pi)/(3))meters`
where `x` is expressed in meters and `t` in seconds. The speed of the wave-motion, in `ms^(-1)`, is

A

300

B

600

C

1200

D

200

Text Solution

Verified by Experts

The correct Answer is:
A
`y=10^(4)sin(600t-2x+(pi)/(3))`
On comparing the given equation with general equation of wave, we get
`y = y_(0) sin(omegat-kx+phi)`
`omega = 600 , k=2`
Wave speed `= (omega)/(2)=(600)/(2)=300m//s`.
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