A parallel beam of monochromatic light of wavelength 5000 A o is incident normally on a single narrow slit of width 0 . 001 mm . The light is focused by convex lens on screen, placed on its focal plan

Question

A parallel beam of monochromatic light of wavelength 5000 A o is incident normally on a single narrow slit of width 0 . 001 mm . The light is focused by convex lens on screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of ______ (degree).

TestHub · Accepted Answer

The condition for the first minima in the single slit diffraction experiment can be written as

$asin θ = λ . . . (1)$

Equation (1) implies that

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

$\Rightarrow θ = 30 °$

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