1.

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of `10cm//s`. The wavelength of the wave is 0.5 m and its amplitude is `10 cm`. At a particular time t,the snapshot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is (a) `sqrt(3pi)/(50)hatjm//s` (b)`-sqrt(3pi)/(50)hatjm//s` (c)`sqrt(3pi)/(50)hatim//s` (d) `-sqrt(3pi)/(50)hatim//s`

Answer» Particle velocity `v_p =-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`(or `hatj`) direction.
`:.` Correct option is (a).


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