Basic Concepts:
In Young's double slit experiment, two very narrow parallel slits, separated by a
distance $d$, are cut into a thin sheet of metal. Monochromatic light, from a distant
light-source, passes through the slits and eventually hits a screen a comparatively
large distance $L$ from the slits. The position of a bright fringe on a screen can be
expressed as
$y_m = \frac{m\lambda L}{d}$, $m = 0, 1, 2, ...$
Where $m$ is the order of the bright fringe and $\lambda$ is the wavelength of the
monochromatic light source. The position of a dark fringe is also expressed as
$y_m = \frac{(m + 1/2)\lambda L}{d}$, $m = 1, 2, 3, ...$
1. State the conditions needed to obtain the above two equations.
2. Derive the above two equations for the Young's double slit experiment.
