In a gas, two waves of wavelengths 1 m and 1.01 m are superposed and produce 10 beats in 3 s . The velocity of sound in the medium is

Step-by-step solution

The velocity (v) is given by v=f f= v Number of beats = difference in frequencies aligned f₁-f₂ & =v ( 1 ₁ - 1 ₂ ) 10 3 & =v ( 1 1 - 1 1.01 ) aligned aligned & 10 3 = v ( 0.01 1.01 ) & v = 10 1.01 3 0.01 =336.7 ~m / s aligned