If an open organ pipe is sounded with a tuning fork having frequency 256 Hz resonance occurred at 35 cm and 105 cm the velocity of sound is :

Options

A. 360 m/s
B. 512 m/s
C. 524 m/s
D. all of these

Answer

A

Explanation

`l_(1) = 35 cm and l_(1 = 105 ` cm .
`therefore (lambda)/(2) = l_(2) - l_(1 ) " " rArr lambda_(2) = 2 (105 -35) `
= 140 cm =1.4 m
v - v `lambda = 256 x 1.4 = 358. 4` m/s .
Hence the correct choice is (a) .