A tuning fork is used to produce resonance in a glass tube . The length of the air column in this tube can be adjusled by a varlable pision. At room temperature of 27^(@) C, two successlve resonances are produced at20 cm and 73 cm of column length .If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27^(@) C is

A tuning fork is used to produce resonance in a glass tube . The lengt

1.	A tuning fork is used to produce resonance in a glass tube . The length of the air column in this tube can be adjusled by a varlable pision. At room temperature of 27^(@) C, two successlve resonances are produced at20 cm and 73 cm of column length .If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27^(@) C is
Answer» 350 m/s 339m/s 330 m/s 300 m/s Solution :`(2n= l)(lambda)/(4) = 20` `(2 n + 1) (lambda)/(4) = 73` Subtracting EQUATION (2) from equation (1) . We get `(2 n + 1 - 2 n + 1) (lambda)/(4) = (73 - 20)` or,`(lambda)/(2) = 53 or, lambda = 106 cm = (106)/(100) m` `:. (V) = nlambda = 320 xx (106)/(100) = 339 . 2 m//2`