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Two sound waves emerging from a source reach a point simultane

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Two sound waves emerging from a source reach a point simultaneously along two paths. When the path difference is 12 cm or 36 cm then there is silence at that point. If the speed of sound in air is 330 m/s then calculate least possible frequency of the source in Hz

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Two sound waves emerging from a source reach a point simultaneously along two paths. When the path difference is 12 cm or 36 cm then there is silence at that point. If the speed of sound in air is 330 m/s then calculate least possible frequency of the source in Hz

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Text solutionVerified

For destructive interference : Path difference

Δ x = (n + \frac{1}{2}) λ

Also, wavelength of wave

λ = \frac{v}{ν}

∴

We get

ν = \frac{( 2 n + 1 ) v}{2Δ x}

For least possible frequency,

n = 0

and

Δ x = 36 c m

∴

ν_{min} = \frac{1 \times 330}{2 \times 0.36} = 458.33 Hz

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Question Text	Two sound waves emerging from a source reach a point simultaneously along two paths. When the path difference is 12 cm or 36 cm then there is silence at that point. If the speed of sound in air is 330 m/s then calculate least possible frequency of the source in Hz
Answer Type	Text solution:1
Upvotes	150

Two sound waves emerging from a source reach a point simultaneously along two paths. When the path difference is 12 cm or 36 cm then there is silence at that point. If the speed of sound in air is 330 m/s then calculate least possible frequency of the source in Hz

Text solutionVerified

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