STANDARDPhysics-Optics

STANDARD Physics Interference MCQ Question

Type: MCQ-numerical-Hard-Class 12

The interference pattern n is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio ImaxIminImax+Imin\frac{I_{max} - I_{min}}{I_{max} + I_{min}} will be:

A

n(n+1)2\frac{\sqrt{n}}{(n+1)^2}

B

2n(n+1)2\frac{2\sqrt{n}}{(n+1)^2}

C

nn+1\frac{\sqrt{n}}{n+1}

D

2nn+1\frac{2\sqrt{n}}{n+1}

Correct Answer

Option D

Detailed Explanation

Given: I₂ = nI₁. Maximum intensity of interference Imax=(n+n)2I_{max} = (\sqrt{n} + \sqrt{n})^2 and minimum intensity Imin=(nn)2I_{min} = (\sqrt{n} - \sqrt{n})^2. The ratio is 2nn+1\frac{2\sqrt{n}}{n+1}.

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