Q.

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 metre and t in seconds. The speed of the wave motion in ms-1 is

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a

300

b

600

c

1200

d

200

answer is A.

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Detailed Solution

The given equation of wave y=10−4sin(600t-2x+π/3)----(1) Standard equation of wave y=asin(wt-kx+φ) --------(2) comparing eqn(1) and (2) w=600 rad/sec;  K=2 N/m   Velocity of wave=wk=6002=300ms-1
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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 metre and t in seconds. The speed of the wave motion in ms-1 is