The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency $n.$ Consider the following statements [image:15_image39.png] I. The speed of the wave is $4n imes ab$ II. The medium at $a$ will be in the same phase as $d$ after $\frac{4}{3n}s$ III. The phase difference between $b$ and $e$ is $\frac{3\pi}{2}$ Which of these statements are correct

Question

The rope shown at an instant is carrying a wave travelling towards right, created by a source vibrating at a frequency $n.$ Consider the following statements [image:15_image39.png] I. The speed of the wave is $4n 	imes ab$ II. The medium at $a$ will be in the same phase as $d$ after $\frac{4}{3n}s$ III. The phase difference between $b$ and $e$ is $\frac{3\pi}{2}$ Which of these statements are correct

Dr. Abubacker · Accepted Answer

(c) Speed $= n\lambda = n(4ab) = 4n 	imes ab\ \ \ \left\lbrack As\ ab = \frac{\lambda}{4} ightbrack$
Path difference between $b$ and $e$ is $\frac{3\lambda}{4}$
So the phase difference $= \frac{2\pi}{\lambda}.$ Path difference
$= \frac{2\pi}{\lambda}.\frac{3\lambda}{4} = \frac{3\pi}{2}$

Explanation

Reviewed by Dr. Abubacker

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