In Young’s double slit experiment with sodium vapour lamp of wavelength

In Young’s double slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is

Options

(a) sin⁻¹ 0.01
(b) sin⁻¹ 0.0001
(c) sin⁻¹ 0.001
(d) sin⁻¹ 0.1

Correct Answer:

sin⁻¹ 0.001

Explanation:

sin θ = λ / d

= 589 × 10⁻⁹ / 0.589 × 10⁻³ = 10⁻³ = 1 / 1000 = 0.001

Therefore, θ = sin⁻¹ 0.001

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