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Two speakers are separated by a distance of 5 \mathrm{~m}. A person stands at a distance of 12 \mathrm{~m}, directly in front of one of the speakers If n stands for any integer, find the frequencies for Which the listener will hear a minimum sound intensity. speed of sound in air is  340 \mathrm{~m} / \mathrm{s}

Option: 1

f=170(2 n+1) Hz


Option: 2

f=160(2 n+1) Hz


Option: 3

f=160(n+1) Hz


Option: 4

f=10(2 n+1) Hz


Answers (1)

best_answer

\left(n+\frac{1}{2}\right) \lambda=\text { Path difference } \\

\left(n+\frac{1}{2}\right) \lambda=(13-12) \\

\left(n+\frac{1}{2}\right) \lambda=1 \\

(2 n+1) \lambda=2 \\

\lambda=\frac{v}{f}=\frac{340}{f} \\

 (2 n+1) \times \frac{340}{f}=2 \\

f=170(2 n+1) Hz

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Rishabh

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