First slide

Coherent sources

Question

Two coherent monochromatic light sources are located at two vertices of an equilateral triangle. If the intensity of the sources independently are $1 W m^{- 2}$ and $4 W m^{- 2}$ . The resultant intensity due to both the source at the third vertex is (in $W m^{- 2}$ )

Moderate

A

Zero
B

$\sqrt{2}$
C

2
D

9

Solution

As there is zero path difference, maxima will be produced at the third vertex
$I_{\max} = {(\sqrt{I_{1}} + \sqrt{I_{2}})}^{2} = {(\sqrt{1} + \sqrt{4})}^{2} = 9$

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