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

A transverse sinusoidal wave moves along a string in the positive x-di

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» Solution :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).