The wavelength of a sound note is 1 m in air and 2.5 m in a liquid. Find the speed of sound in the liquid, if the speed

Monjur Alahi

The wavelength of a sound note is 1 m in air and 2.5 m in a liquid. Find the speed of sound in the liquid, if the speed of the sound in air is 330 m/s.


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Salim Ahmed Kawsar

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Given: λa = 1 m, λl = 2.5 m, va = 330 m/s,

To find: Speed of sound (vl)

Formula: v = nλ

Calculation:

From formula,

Since the frequency n remains the same,

va = nλa and vl = nλl

∴ \(\frac{v_l}{v_a}=\frac{λ_l}{λ_a}\)

∴ vl = va \(\frac{λ_l}{λ_a}\) = 330 × \(\frac{2.5}{1}\) = 825 m/s

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