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# In a resonance column experiment, a tuning fork of frequency 400 Hz is used. The first resonance is observed when the air column has a length of 20.0 cm and the second resonance is observed when the air column has a length of 62.0 cm. (a) Find the speed of sound in air. (b) How much distance above the open end does the pressure node form?

Answer :

Given:

Length of air column at first resonance *L*_{1} = 20 cm = 0.2 m

Length of air column at second resonance *L*_{2} = 62 cm = 0.62 m

Frequency of tuning fork

(a) We know that:

Where, *v* is the speed of the sound in air.

So,

Therefore, the speed of the sound in air is 336 m/s.

(b) Distance of open node is *d:*

Therefore, the required distance is 1 cm.

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