Question

A travelling wave in a medium is given by the equation y - a sin (wt - kx). The maximum acceleration of the particle in the medium is

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11th>Physics>Waves>Speed of a Travelling Wave>A transverse wave is repres...

Physics

A transverse wave is represented by y=Asin (ω−kx).

For what value of the wavelengths the wave velocity equal to the maximum particle velocity?

A

2πA

B

πA

C

2πA

D

A

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Correct option is

C

2πA

The given equation is, y=Asin(ωt−kx)

Wave velocity, ν=kω                          ..

Particle velocity, νp=dtdy=Aωcos(ωt−kx)

Maximum particle velocity, (νp)max=Aω   

According to the given question, ν=(νp)max

kω=Aω                                       

k1=A or 2πλ=A