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Question

Two sounds having the same speed in a medium are having wavelengths 1.3 m and 3.9 m. A person listens to these sounds. What is the difference between the two sounds the person hears?


A

Second sound is heard with better clarity

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B

Second sound is louder

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C

First sound is heard with better quality

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D

First sound is heard with higher pitch

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Solution

The correct option is D

First sound is heard with higher pitch


Since velocity (v) is the product of frequency (f) and wavelength (w),
f1 = vw1 = v1.3 = 10v13 = 30v39
f2 = vw2 = v3.9 = 10v39
Now, f1f2 = 30v3910v39 = 3
As f1 is 3 times greater than f2, first sound has higher pitch than the second one, because higher the frequency, higher is the pitch.


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