The human ear can defect continuous sounds ...

ICSE Class 10 Physics 2017 Paper

Question : 13 of 65

Marks: +1, -0

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

20\\ \mathrm{Hz}

to 20,000

\mathrm{Hz}

. Assuming that the speed of sound in air is

330\\ \mathrm{ms}^{-1}

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

Solution:

Given : Frequency range

=20\\ \mathrm{Hz}

to 20,000

\mathrm{Hz}

, speed of sound in

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

We Know,

v\\;=f \lambda .

\therefore\\ \text{ Case }\\; 1 \rightarrow330\\;=20 \times \lambda_1

\lambda_1\\;=\\;\frac{330}{20}=16.5\\ \mathrm{m}

\text{ Case }\\; 2 \rightarrow330\\;=20,000 \times \lambda_2

\lambda_2\\;=\\;\frac{330}{20,000}=0.0165\\ \mathrm{m}.

\therefore

Wavelength range is

0.0165\\ \mathrm{m}

1.65\\ \mathrm{m}

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