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Q.

For four sine waves, moving on a string along positive x direction, displacement-distance curves (y-x curves) are shown at time t = 0. In the right column, expressions for y as function of distance x and time t for sinusoidal waves are given. All terms in the equations have general meaning. Correctly match y-x curves with corresponding equations.

 Column – I Column – II
A)
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P)y=Acos(ωtkx)
B)
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Q)y=Acos(ωtkx)
C)
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R)y=Asin(ωtkx)
D)
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S)y=Asin(kxωt)

 

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a

A  R, B  P, C  S, D  Q

b

A P, B Q, C R, DS

c

A  R, B  S, C  P, D  Q

d

A  R, B  R, C  S, D  Q

answer is A.

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Detailed Solution

Use x = 0; t = 0 for y and particle velocity yt. Like for (a), y = 0 at x = 0 and t = 0. yt>0 i.e. positive therefore it matches with (R).

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