BASIC WAVE MOTION
Exercise 2.1: Consider the functions
and
where both k and w are larger than 0. Show that the first represents a wave moving to the right and the second a wave moving to the left! Determine the speed of the wave propagation.
An additional angle a in the expression is called a phase term. Show that a phase term does not affect the wavelength L, the period T, or the propagation direction of the wave.
Exercise 2.2: Show that if we allow w and k to be negative and arbitrary phase terms to be included, all functions
may be written for appropriate choices of the constants
Exercise 2.3: The phase velocity for light waves is equal to 300 000 km/s. The periods for FM-band broadcasting range from s to
s. What are the wavelengths of such waves?