A sound wave having a frequency of 100 Hz is travelling in air. The speed of sound in air is 350 m s ⁻¹ . By how much does the phase change at a given point in 2.5 ms ?

Step-by-step solution

The phase of a wave at a fixed position x as a function of time t is given by = t - kx + ₀ . The change in phase at a given point over a time interval t is given by: = t = 2 f t Given frequency f = 100 Hz and time interval t = 2.5 ms = 2.5 10⁻³ s . Substituting the values: = 2 100 2.5 10⁻³ = 2 0.25 = 2