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Q.

S1 and S2 are two coherent sources of sound of frequency 110 Hz each. They have no initial phase difference. The intensity at a point P due to S1 is I0 and due to S2 is 4I0 .If the velocity of sound is 330 m/s then the resultant intensity at P is

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a

I0

b

9I0

c

3I0

d

8I0

answer is C.

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Detailed Solution

The wavelength of sound source =330110=3 metre. The phase difference between interfering waves at P is=Δϕ=2πλS2P−S1P=2π3(5−4)=2π3∴Resultant intensity atP=I0+4I0+2I04I0cos⁡2π3=3I0

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