The first two lengths of an air column , in a resonance column method , were found to be32.1 cm and 99.2 cm , respectively . Determine the end correction for the tube . If it is known that velocity of sound in the laboratory is332 m//s, then find the frequency of the vibrating tunning fork.

The first two lengths of an air column , in a resonance column method

1.	The first two lengths of an air column , in a resonance column method , were found to be32.1 cm and 99.2 cm , respectively . Determine the end correction for the tube . If it is known that velocity of sound in the laboratory is332 m//s, then find the frequency of the vibrating tunning fork.
Answer» SOLUTION :Here , `l_(1) = 32.1 cm and l_(2) = 99.2 cm` `:. Frome = (l_(2) - 3l_(1))/( 2) `, the end correction isgiven by ` e = ( 99.2 cm - 3 xx 32.1 cm)/( 2) = 1.45 cm` ALSO , from ` v = 2 f (l_(2) - l_(1))` , the FREQUENCY of the vibrating tunning fork is given by ` f = (v)/( 2( l_(2) - l_(1))) = ( 332 m//s)/( 2( 99.2 - 32.1 ) xx 10^(-2) m) = 247 .4 Hz`