A single slit of width .25 mm is illuminated with monochromatic light of wavelength 505nm, and a diffraction pattern is formed on a screen 2.2m away from the slit. What is the width of the central maximum? If the width were increased, how would this change affect the size of the central maximum?
d = slit width = 0.25 mm = 0.25 x 10-3 m
= wavelength of the light = 505 nm = 505 x 10-9 m
D = screen distance = 2.2 m
w = width of the central maximum
Width of the central maximum is given as
w = 2 D/d
w = 2 (2.2) (505 x 10-9)/(0.25 x 10-3)
w = 8.89 x 10-3 m
The width of the central maximum is inversely related to width of the slit . hence as the width of the slit is increased, the width of the central maximum will decrease.
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