Explain using the principle of superposition of wave the formation of stationary waves

Explain using the principle of superposition of wave the formation of stationary waves

Solution

When two waves of the same frequency, equal wavelength and equal amplitude are propagating in the same medium in opposite direction they meet and superpose; the resultant displacement of particles in medium at any point is the sum of displacements due to each of the waves at that point.

At point where waves meet in phase, the amplitude is maximum. These are antinode. Where the waves meet out of phase a minimum amplitude is formed. The resultant wave is a stationary wave.