Wave Motion 1 Question 6

6. 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 0.5m and its amplitude is 10cm. At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5cm is

(2008)

(a) 3π50j^m/s

(b) 3π50j^m/s

(c) 3π50i^m/s

(d) 3π50i^m/s

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Answer:

Correct Answer: 6. (a)

Solution:

  1. Particle velocity vp=v (slope of yx 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 j^ ) direction.

Correct option is (a).



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