Waves - Result Question 9

9. 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? [2006]

(a) 4

(b) 12

(c) 1

(d) 2

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Answer:

Correct Answer: 9. (d)

Solution:

  1. (d) The time gap between the initial direct note and the reflected note upto the minimum andibility level is called reverberation time.

Sabine has shown that standard reverberation time for an auditorium is given by the formula

TR=KVαS

Where, V is volume of the auditorium, S is the surface area. So, TR=KVαS=1 (given)

TR=Kl36αl2

(Assuming auditorium to be cubic in shape)

=K6αl

So, TRαl

If dimension is doubled, reverberation time t will be doubled. So, New TR=2sec.



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