In Young's double-slit experiment intensity at a point is 1 4 t h of the maximum intensity. The angular position of this point is (separation between slits is d and also two slits are similar)

Question

In Young's double-slit experiment intensity at a point is 1 4 t h of the maximum intensity. The angular position of this point is (separation between slits is d and also two slits are similar), sin - 1 ⁡ λ d, sin - 1 ⁡ λ 2 d, sin - 1 ⁡ λ 3 d, sin - 1 ⁡ λ 4 d

MARKS App · Accepted Answer

If a is the amplitude of the wave then I max 4 = a 2 = a 2 + a 2 + 2 a a cos ϕ or cos ϕ = − 1 2 or ϕ = 2 π 3 Corresponding path difference, Δ x = ϕ × λ 2 π = ( 2 π 3 ) × λ 2 π = λ 3 So d sin θ = λ 3 Or θ = sin − 1 ( λ 3 d ) .

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