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Two in phase speakers 2.0m a part in a plane are emitting 1800 Hz sound waves...

Two in phase speakers 2.0m a part in a plane are emitting 1800 Hz sound waves of equal intensity into a room where the speed of sound is 340 m/s.

If the individual intensities of the loud speaker sound is I0, what is the intensity at this point in terms of I0? Ignore distance depedence of intensity in this problem.

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Answer #1

Let usc consider the sound wave is sinusoidal. the wave-length corresponding to 1800Hz and velocity 340m/s is

As both the wave has same velocity and they are approaching towards each other then they will meet at the mid point. That is before meeting each will travese 1m distance each. Before reaching at mid point both will complete 5 full wavelength and each will carry an additional phase of .

When two wave with same phase interefere each other then it is constructive interference and the final intensity can be given by . Here both the intensity is IO. Thus the final intensity would be 3* IO.

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