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Solution


Q.

A travelling wave is described by the equation                   

y(x,t)=[0.05sin(8x-4t)] m

The velocity of the wave is [all the quantities are in SI unit]             [2023]
1 4 ms-1  
2 8 ms-1  
3 0.5 ms-1  
4 2 ms-1  

Ans.

(3)

From the given equation k=8 ms-1 and ω=4 rad/s

Velocity of wave =ωk

v=48=0.5 m/s