A parallel beam of monochromatic light of wavelength 5000Å is incident normally on a single narrow slit of width 0.001 mm. The light is focused by a convex lens on the screen, placed on its focal plane. The first minima will be formed for the angle of dif

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Solution

Q.
A parallel beam of monochromatic light of wavelength 5000 $Å$ is incident normally on a single narrow slit of width 0.001 mm. The light is focused by a convex lens on the screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of ____ (degree). [2024]

Ans.
(30) For first minima

$a \sin θ = λ$

$\Rightarrow \sin θ = \frac{λ}{a} = \frac{5000 \times 10^{- 10}}{1 \times 10^{- 6}} = \frac{1}{2}$

$\Rightarrow θ = 30 °$

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