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Question

Physics Question on Wave optics

Light from two coherent sources of the same amplitude AA and wavelength λ\lambda illuminates the screen. The intensity of the central maximum is I0I_0. If the sources were incoherent, the intensity at the same point will be

A

4I04I_0

B

2I02I_0

C

I0I_0

D

I02\frac{I_0}{2}

Answer

I02\frac{I_0}{2}

Explanation

Solution

The rays of light from two coherent sources superimpose each other on the screen forming alternate maxima (with maximum intensity I0I_{0} ) and minima (with intensity zero). If two non-coherent sources superimpose, there will be no maxima and minima, instead the intensity will be I02\frac{I_{0}}{2} throughout.