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YDSE Problems I

The maximum i...

Question

The maximum intensity produced by two coherent sources of intensity $I_{1}$ and $I_{2}$ constructively will be:

A

I_{I} + I_{2}

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B

I_{I}^{2} + I_{2}^{2}

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C

I_{I} + I_{2} + 2 \sqrt{I_{1} I_{2}}

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D

zero

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Solution

The correct option is C $I_{I} + I_{2} + 2 \sqrt{I_{1} I_{2}}$
If the angle between two coherent sources is $θ$ then the Intensity after Interference is given by $I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}} c o s θ$ . For constructive Interference $θ = 2 n π$ Thus Intensity is $I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}}$

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YDSE Problems I

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