Two medium having sound velocity $V_{1}$ and $V_{2}$ are shown in the figure. The common interface of mediums is present at $x = a .$ A pressure wave pulse is travelling in medium 1 towards interface is having wave equation as $P = S_{0} f (x - v t)$ as shown in the figure. Where $S_{0}$ is a positive constant. Equation of reflected wave will be best represented by? (S is a positive constant with proper dimensions)

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$P_{r} = - S f (2 a + x + v t) V_{1} < V_{2}$

$P_{r} = S f (2 a - x - v t) i f V_{1} > V_{2}$

$P_{r} = S f (2 a - x + v t) V_{1} > V_{2}$

$P_{r} = - S f (2 a - x - v t) V_{1} < V_{2}$

answer is A, C.

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Detailed Solution

For a pressure wave when reflected from a denser medium there is no change in phase but when reflected from rarer medium there is phase change $π$ .

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