A tuning fork of frequency 220 Hz produces sound waves of wavelength 1.5 m in air at N.T.P. The increase in wavelength when the temperature of air is 2 7 ∘ C is nearly ( 273 300 = 1.05 )

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A tuning fork of frequency 220 Hz produces sound waves of wavelength 1.5 m in air at N.T.P. The increase in wavelength when the temperature of air is 2 7 ∘ C is nearly ( 273 300 ​ ​ = 1.05 )

TestHub · Accepted Answer

​ v 0 ​ = f λ 0 ​ = 220 × 1.5 v 0 ​ = 330 m / s ​ We know, v 0 ​ v ​ ⇒ v v λ λ λ ​ = T 0 ​ T ​ ​ = 330 273 300 ​ ​ = 330 × 1.05 = 346.1 m / s = f v ​ = 220 346.1 ​ = 1.57 m ​ ∴ The increase, in wavelength is: ​ Δ λ = λ − λ 0 ​ = 1.57 − 1.5 Δ λ = 0.07 m ​

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