Two loud speakers, each receiving the same signal of frequency 6.800 kHz from an

Question

Two loud speakers, each receiving the same signal of frequency 6.800 kHz from an amplifier, and therefore oscillating in phase with each other, are arranged as shown in the diagram below. A microphone M can be moved up and down the line AB. Use v = 340.0 m/s as the speed of sound. Note that the diagram is NOT to scale.

The microphone M is moved from O alone the line AB. Maxima and minima in the detected sound intensity are detected.

(i) What is the distance between adjacent maxima?

(ii) What is the distance between adjacent minima?

Explanation / Answer

= c/f = 340/6.800e3 = 0.05 m

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i)

y1 - y0 = L (sin1 - sin0) = 200.0 * (/d - 0) = 200*0.05/2 = 5 m

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ii)

y1 - y0 = L (sin1 - sin0)

          = 200.0 * (1.5*(/d) - 0.5*(/d))

          = 200 * /d

          = 200*0.05/2

           = 5 m

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