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Question

If at some point, the amplitude of a sound wave becomes double and the frequency becomes one fourth, then at that point, the intensity of sound will:


A
Become double
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B
Become half 
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C
Become one fourth 
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D
Remain unchnaged
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Solution

The correct option is C Become one fourth 
I=2π2f2S20ρv
where f= frequency
S0= amplitude 
Hence If2S20
I1=kf21(S0)21(1)

Given, (S0)2=2(S0)1(2)
& f2=f14(3)

I2=kf22(S0)22(4)

Taking ratio of (1) & (2),
I1I2=(f1f2)2((S0)1(S0)2)2
=(4)2(12)2=164=4
I2=I14

Physics

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