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The frequency of a source of sound is $288 Hz$ . The distance between two consecutive rarefaction is $1.2 m$ . What is the speed of sound in an air medium?

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342 m / s

345.6 m / s

34.56 m / s

3.4 m / s

answer is B.

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Detailed Solution

The speed of sound in an air medium is

345.6 m / s

.
The relation between the speed of sound in the given medium (air), frequency and wavelength is using the formula,
Speed of the sound is

v = λ \times f

Given,
Wavelength of two sound is

λ = 1.2 m

Frequency of the source

f = 288 Hz

Substitute the given values in the formula,

\Rightarrow v = λ \times f

\Rightarrow v = 1.2 \times 288

\Rightarrow v = 345.6 m / s

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