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Two small loud speakers A and B are driven by the same amplifi

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Two small loud speakers $A$ and $B$ are driven by the same amplifier as shown in Fig and emit pure sinusoidal waves in phase. Speaker $A$ is 1 m away as shown and speaker $B$ is 2 m away from the amplifier. The microphone is 4 m away from the amplifier in transverse direction as indicated in the Figure. For what frequencies constructive interference will occur at $P$ (microphone point) :

1000 Hz,2000 Hz, ........

500 Hz, 1500 Hz ........

550 Hz, 1100 Hz.........

500 Hz, 1000 Hz,1500 Hz,.......

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Two small loud speakers

A

and

B

are driven by the same amplifier as shown in Fig and emit pure sinusoidal waves in phase. Speaker

A

is 1 m away as shown and speaker

B

is 2 m away from the amplifier. The microphone is 4 m away from the amplifier in transverse direction as indicated in the Figure. For what frequencies constructive interference will occur at

P

(microphone point) :

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Text solutionVerified

Path difference between sound from the sources meeting at

P = 4^{2} + 2^{2} - 4^{2} + 1^{2} = 0.35 m

For constructive interference, path difference

=

nλ = n \frac{c}{ν}

⟹ ν = \frac{n c}{0.35} = \frac{n ( 350 )}{0.35} = 1000 n = 1000 Hz, 2000 Hz, 3000 Hz ....

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Question Text	Two small loud speakers $A$ and $B$ are driven by the same amplifier as shown in Fig and emit pure sinusoidal waves in phase. Speaker $A$ is 1 m away as shown and speaker $B$ is 2 m away from the amplifier. The microphone is 4 m away from the amplifier in transverse direction as indicated in the Figure. For what frequencies constructive interference will occur at $P$ (microphone point) :
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

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