Question
Is it necessary to have two waves of equal intensity to study interference pattern? Will there be an effect on clarity if the waves have unequal intensity?

Answer

Interference pattern can be studied with waves of unequal intensity.
$\text{I}=\text{I}_1+\text{I}_2+2\sqrt{[\text{I}_1\times\text{I}_2]}\cos(\phi),$
Where $\phi$, = phase difference.
In case of waves of unequal intensities, the contrast will not be clear, as the minima will not be completely dark.

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