Figure 12-4.
White light splits into colors.
Recall that white light gets split into the colors Red, Orange, Yellow, Green,
Blue, Indigo, Violet, remembered using the acronym (ROY G BIV). This is because
the deviation angle for red light is less than the deviation angle for violet light. One
can observe this by expressing the index of refraction in terms of the frequency (ν)
and wavelength (λ)of the light. The refraction index being given by
n=c 1 /c 2 =λ 1 ν/λ 2 ν
See the figures 12-2 and 12-3.
Differentiation of Implicit Functions
The following is a prsentation of various ways of representing implicit functions
and the resulting techniques used to obtain derivatives from these representations.
The ideas presented can be extended to cover systems of m-equations in n-unknowns,
with m < n. The given m-equations define implicitly mof the variables in terms of
the remaining n−mvariables. Make note in the following representations that if
you are given m-equations, then there will always be mdependent variables.
