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Question

Two second sources produce progressive waves given by y1=12cos100πt and y2=4cos102πt neat the ear of an observer. When sounded together, the observer will hear.

A
2 beats per two sound source with an intensity ratio of maximum to minimum nearly 4:1
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B
1 beat per second with an intensity ratio of maximum to minimum nearly 2:1
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C
1 beats per second with an intensity ratio of maximum to minimum nearly 9:1
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D
1 beat per second with an intensity ratio of maximum to minimum nearly 4:1
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Solution

The correct option is C 1 beats per second with an intensity ratio of maximum to minimum nearly 9:1
The frequency of the first wave is, ν1=50Hz
The frequency of the second wave is, ν2=51Hz
Number of beats per second=5150=1hz
Intensity ratio=12242=14416=91=9:1

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