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A person has a hearing range from $20 Hz$ to $20 KHz$ and the speed of sound in air is $344 m / s$ then which of the following option/s is/are correct?

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For frequency

20 Hz

, wavelength of sound is

λ = 17.2 m

For frequency

20 KHz

, wavelength of sound is

λ = 0.0172 m

Both options 1 and 2

None of the above

answer is C.

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Detailed Solution

A person has a hearing range from

20 Hz

20 KHz

with speed of sound

344 m / s

then their wavelengths are

17.2 m

and

0.0172 m

respectively.
Given the range of frequencies

20 Hz

20 KHz

with velocity of sound

v = 344 m / s

.
For frequency

n = 20 Hz

The wavelength of the sound wave

λ

is derived from the relation

v = nλ

Where

v

is the velocity of the sound wave and

n

is the frequency

\Rightarrow 344 m / s = 20 Hz \times λ

\Rightarrow λ = 17.2 m

For frequency

n = 20 KHz

The wavelength of the sound wave is given from the relation

v = nλ

\Rightarrow 344 m / s = 20 \times 10^{3} Hz \times λ

\Rightarrow λ = 0.017 m

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A person has a hearing range from 20 Hz to 20 KHz and the speed of sound in air is 344 m/s then which of the following option/s is/are correct?

Detailed Solution

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A person has a hearing range from $20 Hz$ to $20 KHz$ and the speed of sound in air is $344 m / s$ then which of the following option/s is/are correct?