Question

frequency of source of sound is 288hz. distance between two consecutive rarefaction is 1.2m. what is the speed of sound in the air medium

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Answer 1

Given:

• Frequency of sound = 288 Hz
• Distance between two consecutive rarefaction = 1.2 m

To find:

• Speed of sound in air.

$\underbrace {\large {\sf {Understanding\ the\ concept}}}$

Wave length (λ) is defined as the distance between two successive compressions or rarefactions.

The density of particles in the given medium is less in rarefaction.

The density of particles in the given medium is more in compression.

The relation between speed of sound in the given medium, frequency and wavelength is given by the formula :-

v = λν

Where,

v = Speed of sound

λ = Wavelength

ν = Frequency

Solution:

Substitute the given values in the formula,

v = λν

v = 1.2×288

$\boxed {\mathfrak {\red {v = 345.6\ ms^{-1}}}}$

Speed of sound in the air:

Speed of sound in the air is 345.6 m/s.