Q. 415.0( 1 Vote )

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
L1 = 20 cm = 0.2 m
Length of air column at second resonance
L2 = 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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