Sound WavesHard

Question

A plane progressive wave is represented by the equation y = 0.25 cos (2πt - 2πx). The equation of a wave is with double the amplitude and half frequency but traveling in the opposite direction will be : -

Options

A.y = 0.5 cos (πt - πx)
B.y = 0.5 cos (2πt + 2πx)
C.y = 0.25 cos (πt + 2πx)
D.y = 0.5 cos (πt + πx)

Solution

y1 = 0.25 cos (2πt - 2πx)  fλ = const.
f = f /2 ⇒ λ = 2⇒
y2 = 2 × 0.25 cos = 0.5 cos (πt + πx)

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