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NEET 2006 (AIPMT) · Wave Basics & Properties of Sound

Wave Basics & Properties of Sound question from NEET 2006 (AIPMT)

Q37NEET 2006 · AIPMTEasy

Wave Basics & Properties of Sound

The time of reverberation of a room A is one second. What will be the time (in seconds of reverberation of a room, having all the dimensions double of those of room A?

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Answer: (b)

Sabine's formula: $T = \frac{0.161\,V}{aS}$ , so $T \propto \frac{V}{S}$ .
Doubling every dimension: $V \to 8V$ , $S \to 4S$ .
$T' = \frac{8}{4} \times 1 = 2$ s
So the answer is (b) 2.

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