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Question

Physics Question on Waves

A travelling wave is described by the equation y(x,t)=[0.05sin(8x4t)]my(x, t)=[0.05 \sin (8 x-4 t)] m The velocity of the wave is : [all the quantities are in SI unit]

A

4ms14 \,ms ^{-1}

B

8ms18 \,ms ^{-1}

C

0.5ms10.5 \, ms ^{-1}

D

2ms12 \,ms ^{-1}

Answer

0.5ms10.5 \, ms ^{-1}

Explanation

Solution

From the given equation k=8m−1
and ω=4rad/s Velocity of wave =kω​
v=84​=0.5m/s