Two slits separated by a distance of d = 0.11mm are located at a distance of D = 660mm from a screen. The screen is oriented parallel to the plane of the slits. The slits are illuminated by a coherent light source with a wavelength of lambda = 536E-6 mm. The interference pattern shows a peak at the center of the screen (m=0) and then alternating minima and maxima.
a)What is the pathlength difference between the two waves from the two slits at the first (m=1) maximum on the screen?
b) What is the pathlength difference between the two waves from the two slits at the first (m=0) minimum on the screen?
c) Calculate the distance on the screen between the central maximum (m=0) and the first (m=1) maximum (You can assume sin(theta) = tan(theta) = theta with theta expressed in radians).