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  4. Two identical light waves, propagating in the same direction, have a phase difference δ. After they superpose the intensity of the resulting wave will be proportional to

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Q. Two identical light waves, propagating in the same direction, have a phase difference $\delta$. After they superpose the intensity of the resulting wave will be proportional to

WBJEEWBJEE 2009Wave Optics

Solution:

Maximum intensity,
$I=4I_{0} \, cos^{2} \left(\frac{\delta}{2}\right) $
$\Rightarrow I \propto\, cos^{2} \left(\frac{\delta}{2}\right)$