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In Young's double slit experiment the width of the fourth bright fringe is 2×10⁻² cm. The width of the sixth bright fringe will be

Asked in GUJCET 2014 · Fringe width and fringe position

Answer: (3) 2×10⁻² cm

Step-by-step solution

Given: the width of the fourth bright fringe is 2×10⁻² cm.

Idea: fringe width means the separation of consecutive bright fringes, β=(λ D)/d.

Nothing on the right-hand side depends on the order n, so in a Young's pattern all the fringes are equally wide.

The sixth bright fringe is therefore exactly as wide as the fourth.

Width =2×10⁻² cm.

What does grow with the order is the distance of the fringe from the centre, yₙ=nβ, and that is the quantity the question is inviting you to compute by mistake.

Why the other options are wrong

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