Wave motionHardBloom L3

Question

Which of the following combinations can give standing wave.

Options

A.y1 = A sin2 (ωt – kx) ; y2 = – A sin2 (ωt + kx)
B.y1 = A sin (kx – ωt) ; y2 = A cos (ωt + kx)
C.y1 = 2A cos2 (ωt – kx + π) ; y2 = A [sin 2(ωt + kx) – 1]
D.y1 = A sin (kx – ωt + 30º) ; y2 = A cos (ωt + kx – 60º) .

Solution

Sol. In all the options, waves are travelling in opp. direction and have same freq. & wavelength

Therefore, standing wave will be formed

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