A tuning fork of frequency 220 ~Hz produces sound waves of wavelength 1.5 ~m in air at N.T.P. The increase in wavelength when the temperature of air is 27^ C is nearly ( 300 273 =1.05 )

Step-by-step solution

aligned & v ₀= f ₀=220 1.5 & v ₀=330 ~m / s aligned We know, aligned v v ₀ & = T T ₀ v & =330 300 273 =330 1.05 v & =346.1 ~m / s & = v f = 346.1 220 & =1.57 ~m aligned The increase, in wavelength is: aligned & = - ₀=1.57-1.5 & =0.07 ~m aligned