A tuning fork of frequency 384 Hz produces the 1st and the 2nd resonances with air columns of a pipe closed at one end at lengths 22 cm and 67 cm, respectively. Find out the velocity of sound in air, and the end error for the open endof the tube

A tuning fork of frequency 384 Hz produces the 1st and the 2nd resonan

1.	A tuning fork of frequency 384 Hz produces the 1st and the 2nd resonances with air columns of a pipe closed at one end at lengths 22 cm and 67 cm, respectively. Find out the velocity of sound in air, and the end error for the open endof the tube
Answer» Solution :Velocityof sound in air V = 2n` (l_(2) - l_(1)) = 2 XX 384 xx (67 - 22) = 2 xx 384 xx 45 ` = `34560 cm . S^(-1)` END error,`c = (1)/(2) (l_(2) - 3l_(1)) = (1)/(2)(67 - 3 xx 22)` ` = (1)/(2) xx 1 = 0 . 5 cm`.