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The displacement y of a wave travelling in the x direction is given by y=10-4sin(600t-2x+π/3) metre. When x is expressed in metres and t in seconds. The speed of the wave motion in ms-1 is

a
300
b
600
c
1200
d
200

detailed solution

Correct option is A

The given equation of wave  y=10−4sin(600t-2x+π/3)----(1)Standard equation of wave y=asin(wt-kx+φ)----(2), here angular velocity = w, force constant =kNow comparing equation(1) and (2) we getw=600rads-1,k=2Nm-1Velocity of wave  =wk=6002=300ms-1

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