12 . Establish the relationship between speed of sound , its wavelength and frequency . If velocity of sound in air is 340 m/s calculate
(i) Wavelength wen frequency is 256 hz
(ii) frequency when wavelength is 0.85m 
 

Dear Student

Let the speed of sound be V. Its wavelength be λ and the frequency be ν.

The time period of the wave is given by, T = 1/ν

In time T the wave covers a distance of one wavelength λ.

Therefore, speed of sound, V = λ/T = νλ

Thus we have, V = νλ

Or, Speed = Frequency × Wavelength

(a) When frequency is 256 Hz.

λ = V/ν  = 340/256 = 1.33 m
   
(b) When λ = 0.85m  frequency ν is V/λ =340/0.85 = 400  Hz

Regards