# Two loudspeakers located along the x-axis as shown in the figure produce sounds of equal...

## Question:

Two loudspeakers located along the x-axis as shown in the figure produce sounds of equal frequency. Speaker 1 is at the origin, while the location of speaker 2 be varied by a remote control wielded by the listener. He notices maxima in the sound intensity when speaker 2 is located at x = 0.840 m and 1.12 m, but at no points in between.

What is the frequency of the sound? Assume the speed of sound is 340 m/s.

f = _____ Hz

## Frequency of the Sound From Constructive Interference

When two sound waves of same frequency, amplitude and wavelength interfere at a point, if the path difference between the two interfering waves are either zero or an integer multiple of the wavelength, constructive interference or large sound occurs at that point. If the path difference is an odd integer multiple of half wavelength, the destructive interference or minimum sound is observed at that point.

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Given points

• Speakers are producing same frequency F
• First speaker is at the origin that is at x = 0 m
• Sound maxima is observed when the second...