A sinusoidal sound wave travels along the direction with speed and frequency

PHYSICS · Multi-part · A Level · Physics · Waves · Waves

Problem

A sinusoidal sound wave travels along the

+x

direction with speed

300\,\text{m s}^{-1}

and frequency

600\,\text{Hz}

. At

t = 0

, the displacement at

x = 0

is zero and increasing in the positive direction. (i) Find the phase difference between the points

x = 0

and

x = 0.25\,\text{m}

t = 0

. (ii) Determine the smallest time after

t = 0

when the particle at

x = 0.25\,\text{m}

will be in the same phase as the particle at

x = 0

was at

t = 0