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Two incoherent sources of light emitting...

Two incoherent sources of light emitting light of intensity `I_(0)` and `3I_(0)` interfere in a medium. Then the resultant intensity at any point will be

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Since, the two sources are incoherent hence we do not obtain any sustained interference pattern. We observe an average intensity
`(:I:)=(:l_(1)+l_(2)2sqrt(l_(1)l_(2))cosphi:)`
Now, `(:cosphi:)=0` in one complete cycle.
`:. (:l:)=l_(1)+l_(2)` which is `4l_(0)`.
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