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A,B and C are the three particles of a m...

A,B and C are the three particles of a medium which are equally sparated and lie along the x-axis. When a sinusoidal transverse wave of wavelength k propagates along the x-axix, the following observation are made:
(i) A and B have the same speed. (ii) A and C have the same velocity.
Find (a) the minium distance between A and B and (b) the minimum distance between A and C.

Text Solution

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(a) points `A` and `B` have the same speed. Point `A` goes down ward and the point `B` goes upward. The distance between the point `A` and `B` is `lambda//2`.
(b) point `A` and `C` have the same velocity. Both the points move downward. The distance between `A` and `C` is lambda.
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