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

Difficult

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 $π$

Solution

Equation of A, B, C and D are
$y_{A} = Asinωt, y_{B} = Asin (ωt + π / 2)$
$y_{C} = Asin (ωt - π / 2), y_{D} = Asin (ωt - π)$
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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