Answer:
When two waves of intensities \[{{I}_{1}}\] and \[{{I}_{2}}\] and having phase difference \[\phi \] meet at a point, the resultant intensity is \[I={{I}_{1}}+{{I}_{2}}+2\sqrt{{{I}_{1}}{{I}_{2}}}\cos \phi \] Given intensity, \[I={{I}_{1}}+{{I}_{2}}\] \[\therefore \]Interference term, \[2\sqrt{{{I}_{1}}{{I}_{2}}}\cos \phi =0\] or \[\cos \phi =0\][\[{{I}_{1}}\] and \[{{I}_{2}}\] are not zero] That is, the phase difference \[\phi \] varies from 0 to \[2\pi \] in such a way that the average value of \[\cos \phi \] is zero over a cycle. Thus two sources have a phase difference which is not stable. Such sources are called incoherent sources.
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