The distance between slits on a diffraction grating is 0.60 mm, and one of the angles of diffraction is 0.30°. The light forms a second-order bright band. How large is the path difference?

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Answer:  1.57 × 10⁻⁶ m

Explanation:

For constructive interference i.e. formation of bright fringe through a diffraction grating is given by:

d sin θ = n λ

here, d is the distance between slits.

θ is the angle of diffraction

n is the order of fringe

and λ is the path difference.

λ = (d sin θ)/ n = (0.60 ×10 ⁻³m)(sin 0.30°)÷2 = 1.57 × 10⁻⁶ m