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A Sound wave is travelling at the speed of $339 m / \sec$ . If the wavelength of the wave is $1.5 m$ . What is the frequency of the wave?

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100 Hz

113 Hz

22.6 kHz

33.9 kHz

answer is C.

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Detailed Solution

The Frequency of the wave is

22.6 kHz

.
Given,
Speed of the sound

(v) = 339 m s^{- 1} 1

Wavelength of the sound (λ)

= 1.5 cm

λ = 0.015 m

Speed of sound = Wavelength \times Frequency

\Rightarrow Frequency = \frac{Speed of sound}{Wavelength}

\Rightarrow Frequency = \frac{339}{0.015}

\Rightarrow Frequency = 22600 Hz

\Rightarrow Frequency = 22.6 kHz

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