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[72]
A sound wave travels at a speed of $330 m / s$ , if its wavelength is $1.5 cm$ , then what is the frequency of the wave?

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22600 Hz

22000 Hz

24000 Hz

None

answer is B.

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Detailed Solution

A sound wave travels at a speed of

330 m / s

, if its wavelength is

1.5 cm

, the frequency of the wave is

22000 Hz .

Given that, speed

v

339 m / s,

Wavelength, λ

= 1.5 cm

\Rightarrow

= 0.015 m

Therefore,

frequency v = \frac{Ʋ}{λ}

v = fλ

\Rightarrow f = \frac{v}{λ}

\Rightarrow = \frac{330}{0.015}

\Rightarrow = 22000 Hz

Or,

f

22 kHz

[ 1 kHz = 1000 Hz]

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