The acoustical system shown in the figure below is driven by a speaker emitting

Question

The acoustical system shown in the figure below is driven by a speaker emitting sound of frequency 852 Hz.

The acoustical system shown in the figure below is driven by a speaker emitting sound of frequency 852 Hz. If constructive interference occurs at a particular location of the sliding section, by what minimum amount should the slider be moved upward so that the destructive interference occurs instead? What minimum distance from the original position of the sliding section will again result in constructive interference?

Explanation / Answer

(a)Minimum amount by which it should be moved up ward is (? /4), producing extra total/net path difference of ? /2. In this case ? = 332/852 =0.3896 m or 38.96 cm ?/4 = 9.74 cm. So the slider must be moved through minimum9.74 cm to produce destructive interference.

(b) ? /2 or sliding through minimum 19.48 cm from original position to get constructive interference again

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