QUESTIONS

What are mechanical waves? Mention the required properties of the medium for the propagation of mechanical waves. Differentiate between transverse waves and longitudinal waves.

Explain the meanings of the following in connection with waves : amplitude, time-period, frequency, phase, wavelength and wave speed. Establish a relation between frequency, speed and wavelength.

What do you understand by wave function? Explain periodic wave functions and harmonic wave functions.

What is a plane progressive simple harmonic wave? Establish equation for this wave in two different forms.

Write characteristics of a harmonic wave.

Taking the equation of a plane progressive wave as $y=a \sin \left[\frac{2\mathrm{\pi }}{\lambda }\left(vt-x\right)\right]$, write down the expression for the particle velocity. Show that the particle velocity at a point $=$ wave velocity $\times$ slope of displacement curve at that point. 

What do you mean by 'intensity' of a wave? Write its unit. What is the relation between intensity of wave and amplitude of motion of the medium particles$?$