The intensity of light in the Fraunhofer diffraction pattern of a single slit iswhere(a) S...

The intensity of light in the Fraunhofer diffraction pattern of a single slit is

where

(a) Show that the equation for the values of  γ at which I is a maximum is tan γ = γ. (b) Determine the three smallest positive values of γ that are solutions of this equation. (Hint: You can use a trial-and-error procedure. Guess a value of γ and adjust your guess to bring tan γ closer to γ. A graphical solution of the equation is very helpful in locating the solutions approximately, to get good initial guesses.)