Question

in a young's double slit experiment. D equals the distance of screen from slits and d is the separation between the slits. the distance of the nearest point to the central maximum where the intensity is same as that due to a single slit is equal to

Answer 1

y = λD / 3d

Explanation:

Given: In a Young's double slit experiment, D equals the distance of screen from slits and d is the separation between the slits.

Find: The distance of the nearest point to the central maximum where the intensity is same as that due to a single slit is equal to.

Solution:

I = 4I₀ Cos² (∅/2)

I₀ = 4I₀ Cos² (∅/2)

∅ = 2π/3

 ∅ = 2π/ λ .  ∆x

But  ∆x = yd/ D

yd / D =  λ /3

Therefore y = λD / 3d