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Q.

‘A’ sings with frequency ‘n’ and ‘B’ sings with a frequency ‘n/4’. If the energy remains the same and the amplitude of ‘A’ is ‘a’, then amplitude of ‘B’ is

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a

4a

b

2a

c

16a

d

8a

answer is A.

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Detailed Solution

Power =2π2A2f2ρVWhere A = Amplitude, f = Frequency, ρ=density of air and V = velocity of sound in air. ∴ 2π2A2n42ρV=2π2a2n2ρV⇒A=4a

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‘A’ sings with frequency ‘n’ and ‘B’ sings with a frequency ‘n/4’. If the energy remains the same and the amplitude of ‘A’ is ‘a’, then amplitude of ‘B’ is