ICSE Class 10 Physics 2017 Solved Paper

Question : 13 of 65

Marks: +1, -0

The human ear can defect continuous sounds in the frequency range from

20 {\Hz}

to 20,000

{\Hz}

. Assuming that the speed of sound in air is

330 {\ms}^{-1}

for all frequencies, calculate the wavelengths corresponding to the given extreme frequencies of the audible range.

Solution:

Given : Frequency range

=20 {\Hz}

to 20,000

{\Hz}

, speed of sound in

{\air}( {\v})=330 {\ms}^{-1}

.
We Know,

v\;=f λ .

∴ \;\text " Case "\; 1 → 330\;=20 × λ_1

λ_1\;=\;{330}/{20}=16.5 {\m}

\;\text " Case "\; 2 → 330\;=20,000 × λ_2

λ_2\;=\;{330}/{20,000}=0.0165 {\m} .

∴

Wavelength range is

0.0165 {\m}

1.65 {\m}

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