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Question

In double-slit experiment using light of wavelength 600 nm, the angular width of a fringe formed on a distant screen is $$0.1^{\circ}$$. What is the spacing between the two slits?


Solution

Wavelength of light used, $$\lambda=600\times10^{-9}m$$
Angular width of fringe, $$\theta=0.1^o=0.1\pi/180$$
Angular width of a fringe is related to slit spacing as $$d=\lambda/\theta=3.44\times10^{-4}m$$
So,  the spacing between the slits is $$3.44\times10^{-4}m$$

Physics
NCERT
Standard XII

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