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QAIPMT-2006-Ph-2439: NEET 2006 Physics - Class 11 AIPMT-2006-Ph-2439 Solution: The time of reverberation of a room A is one second. What will…
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?
Multiple Choice Options
- A 1
- B 2
- C 4
- D 01-Feb
Step-by-Step Verified Solution
Reverberation time is defined as the time during which the intensity of sound in the auditorium becomes one millionth of the initial intensity.
Sabine has shown that standard reverberation time for an auditorium is given by the formula
T R = K V _ S
Here, V is volume of the auditorium, S is the surface area.
_ T R = K . V _ S = 1 (given)
_ T R = K . l 3 6 _ l 2 = K 6 _ l T R = K . l 3 6 _ l 2 = K 6 _ l
(Assuming auditorium to be cubic in shape)
_ T R _ l
If dimension is doubled, reverberation time t will be doubled.
So, New T R = 2 sec.