Question

For a Young's double slit experiment, the slit separation (d) is controlled to be selected by a choice multiple of wavelength (lamda) for a monochromatic coherent source.a) For (i) d=100labda, and (ii) d=10000lamda Determine the angular separation between the central maximum and its adjacent maximum Please calculate for both the small angle AND non-small angle assumption noting that theta(m=0) = theta(0) = theta Your answer must be in radians b) At a slit-screen distance, D=50.0cm, calculate the distance between maxima on a screen for your small angle approximation results from part a)

Answer 1

Part (a)
The angular separation between the central maximum and its adjacent maximum for when d=100 lamda is 0.05 degrees

The angular separation between the central maximum and its adjacent maximum for when d=1000 lamda is 0.005 degrees

Part (b)
The distance between the maxima on the screen for the small angle approximation is 7.5cm

The distance between the maxima on the screen for the non-small angle approximation is 37.5cm