velocity of sound

Question

Two closed organ pipes of length 0.5 m and 0.525 m are sounded together and produce 6 beats per second. What is the velocity of sound in the medium with which the organ pipes are filled?

Answer 1

Assuming fundamental mode in each case

wave length = 4*Length

wave length 1 = 2 m and wave length 2 = 2.1 m

frequency 1 = V/ wave length 1

frequency 2 = V/ Wave length 2,

beat frequency = 6 = | f1 - f2 |

6 = V/2 - V/ 2.1

V = 252m/s

Hope it makes sense

ask if you need more