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A transverse wave is travelling along a ...

A transverse wave is travelling along a string in the positive x-axis. The

shows the photograph of the wave at an instant. Find
(a) the points moving upwards
(b) the points moving downwards
(c ) the points which have zero velocity
(d) the points which have maximum velocity

Text Solution

Verified by Experts

The dotted curved in the figure reprensents the position of the wave at a later instant. It can be easily obtained from the figure that

(a) Point D,E, and `F` move upward. (b) points `A,B,H,` and `I` move downward. (c ) points `C`, and `G` have zero velocity. (d) points `A,E,` and `I` have the maximum velocity
Method `2:` particle velocity `V_(p)=-wave velocity xx(dy)/(dx)`
As the wave travel in positive `x-`direction. the point having `dy//dxgt0` will move down, `dy//dxlt0` will move up and `dy//dxgt0` the points having will be at rest. the points having maximum magnitude of `(dy)/(dx)` will have maximum magnitude of speed.
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Knowledge Check

  • A sinusoidal transverse wave is traveling on a string. Any point on the string

    A
    moves in the same direction as the wave.
    B
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    D
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