Question

11) Two small lamp emit yellow light of wavelength 650nm and are located at a distance of 1.0km from a single slit of width 0.60mm Find . the minimum lateral seperation of the lamps for their images to be just resolved by the single slit.​

Answer 1

Answer:

Distance between the slits d=1mm=10

−3

m

Change in position of screen ΔD=0.25m

Change in fringe width Δβ=(0.75−0.6)mm

∴ Δβ=0.15mm=0.15×10

−3

m

Change in fringe width Δβ=

d

λ

ΔD

0.15×10

−3

=

10

−3

λ

×0.25

⟹ λ=600nm