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A Hall of Dimension 25×18×12m3 Has an Average Absorption Coefficient 0.2. Find the Reverberation Time. If a Curtain Cloth of Area 150m2 is Suspended at The Centre of Hall with Coefficient - Applied Physics 1

Numerical

A hall of dimension 25×18×12m3 has an average absorption coefficient 0.2. find the reverberation time. If a curtain cloth of area 150m2 is suspended at the  centre of Hall with coefficient of absorption 0.75, What will be the reverberation
time?

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Solution

Given Data  :- volume of hall = 25 ×18 ×12 = 5400

α = 0.75  αav = 0.2  Scurtain = 100 m2

Formula :-  `T_1 = 0.161 × V/(α_(av)  × S`)`

`T_2 = 0.161 ×  V/( α_(av) × S + α_("curtain ") × S`

Calculate :- S = 2[(20 ×15)+(15 ×10)+(10 ×20)] = 1300m
V = 20×15×10 = 3000 m

`T_1 = 0.161 × 3000/(0.1×1300) = 3.7 sec`.

∴ Absorption takes place by both the surfaces of the curtain
S’ = 2×100 m2 = 200 m2

`T_2 = 0.161 × 3000/ ((0.1 ×1300)+(0.66 ×200)) = 1.84 sec`

Answer :- Change in reverberation time = 1.85 sec.

Concept: Reflection of Sound(Reverberation and Echo)
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