Q.

The figure shows four progressive waves A, B, C, and D with their phases expressed with respect to the wave A. It can be concluded from the figure that

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a

The wave C is ahead by a phase angle of π/2 and the wave B lags behind by a phase angle of π /2

b

The wave C lags behind by a phase angle of π/2 and the wave B is ahead by a phase angle of π /2

c

The wave C is ahead by a phase angle of π and the wave B lags behind by a phase angle of π

d

The wave C lags behind by a phase angle of π  and the wave B ahead by a phase angle of π

answer is B.

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Detailed Solution

Equation of A, B, C and D are yA=Asinωt,  yB=Asin(ωt+π/2)yC=Asin(ωt−π/2),  yD=Asin(ωt−π)It is clear that wave C lags behind by a phase angle of π/2 and the wave B is ahead by a phase angle at π/2.
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