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Question

# Two sounds in a medium are having wavelengths 1.3 m and 3.9 m. A person listens to these sounds. What difference would the listener feel?

A

First sound is heard with higher pitch.

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B

First sound is heard with better quality.

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C

First sound is louder.

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D

Second sound is heard with higher pitch.

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Solution

## The correct option is A First sound is heard with higher pitch. Given: Medium is the same for both the sounds. For first sound, wavelength λ1=1.3 m For second sound, wavelength λ2=3.9 m Speed of sound in a medium is constant. Since velocity (v) is the product of frequency (f) and wavelength (λ), f1=vλ1 f2=vλ2 ⟹f1f2=λ2λ1 f1f2=3.91.3 f1=3f2 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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