In an auditorium the ceiling is a horizontal plane above the floor

PHYSICS · Single correct · CBSE · Physics · Sound · Sound

Problem

In an auditorium the ceiling is a horizontal plane 8 m8\,\text{m} above the floor. A speaker stands at one end with the source of sound 1.5 m1.5\,\text{m} above the floor. A listener is seated 20 m20\,\text{m} away horizontally, at the same height as the speaker's source. Taking the speed of sound as 340 m s−1340\,\text{m}\,\text{s}^{-1}, what is the time interval between the arrival of the direct sound and the sound that reaches the listener after a single reflection from the ceiling? (a) 0.070 s0.070\,\text{s} (b) 0.019 s0.019\,\text{s} (c) 0.011 s0.011\,\text{s} (d) 0.038 s0.038\,\text{s}

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