Question

calculate the velocity of sound in a gas in which two sound wave of lenght 100 cm 101 cm produced 24 beats in 6 second

Answer 1

When two sound waves of nearly equal frequency travelling along the same direction through a medium superimpose on each other , either maximum intensity or minimum intensity
of result an t sound rises or falls at a particular position alternatively with time, is observed.
This phenomenon is known as beats
(v/λ1)-(v/λ2) = 24 /6
or v(λ2-λ1)/(λ1λ2) = 4
or v (101-100) / (100×101) =4
or v  = (4×100×101) / 1  
or v = 161600 cm /second
∴ v= 1616 m/sec