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A transverse sinusoidal wave moves along a string in the positive x-direction at...

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is


√3π50ˆjm/s

−√3Ï€50ˆj m/s

√3π50ˆim/s

−√3π50ˆim/s
Solution:
Particle velocity vp=−v (slope of y−x graph)
Here,v=+ve, as the wave is travelling in positive x-direction.
Slope at P is negative.
∴ Velocity of particle is in positive y(+→j) direction.
∴ correct option is (a).