(a) What is a harmonic wave? Write down the general expression for a harmonic wave.
(b) Show that the phase of a wave changes (i) with time and (ii) with distance.

What is a harmonic wave function ?

Write down the expression for the stationary wave.

What is meant by phase of a wave ?

Write down the expression for the nth harmonic in (i) closed pipe (ii) an open pipe.

Write down the differential equation of a plane progressive wave.

Write down the wave equation in four different forms.

(a) Taking equation of a palne progressive wave as y=alphasin.(2pi)/(gamma)(vt-x) . Write down the expression for the paticle velocity. Show that the particle veloity at a point = "wave velocity" xx "slope of the displacement curve at the point" .

Discuss forced harmonic oscillations. Write down the expression for displacement. Explain resonance.

The change in phase if a wave is reflected from a rigid surface is

(a) What are standing waves or stationary waves ? (b) Show that when a transverse wave travels from a rarer to a denser medium it gets reflected with a phase change of pit . Also prove that wien a transverse wave travels from a denser to rarer medium it gets reflected from the surface separating the two media without any phase change.