Question

In a resonance tube experiment a tuning fork resonates with an air column 10cm long and again resonates when it is 32.2 cm long.Calculate the end correction and the wavelength of the wave.

Answer 1

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Answer 2

λ/4 = ℓ1+ e

3λ/4 = ℓ2 + e

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taking ratio.

3/1 = ℓ2+e/ℓ1+e

e= (ℓ2- 3ℓ1)/2

2e = 32.2- 3(10)

2e = 2.2

e= 1.1

Hence,

ℓ1+e = λ/4

(10+ 1.1)4 = λ

λ= 4.4