Two beam of light having intensities I and 4I interfere to produce fringe pattern on screen .The phase difference between the beam is π2 at point A and p at point B .Then difference between the resultant intensities at A and B is

I1'=I1+I2+2I1I2Cosπ2=5I;I2'=I1+I2+2I1I2Cosπ=II"=I1'−I2'=5I−I=4I

Two beam of light having intensities I and 4I interfere to produce fringe pattern on screen .The phase difference between the beam is π2 at point A and p at point B .Then difference between the resultant intensities at A and B is

I1'=I1+I2+2I1I2Cosπ2=5I;I2'=I1+I2+2I1I2Cosπ=II"=I1'−I2'=5I−I=4I

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Two beam of light having intensities I and 4I interfere to produce fringe pattern on screen .The phase difference between the beam is $\frac{π}{2}$ at point A and p at point B .Then difference between the resultant intensities at A and B is

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$I_{1}^{'} = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}} Cos (\frac{π}{2}) = 5 I;$

$I_{2}^{'} = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}} Cos (π) = I$

$I^{"} = I_{1}^{'} - I_{2}^{'} = 5 I - I = 4 I$

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Two beam of light having intensities I and 4I interfere to produce fringe pattern on screen .The phase difference between the beam is π2 at point A and p at point B .Then difference between the resultant intensities at A and B is

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Two beam of light having intensities I and 4I interfere to produce fringe pattern on screen .The phase difference between the beam is $\frac{π}{2}$ at point A and p at point B .Then difference between the resultant intensities at A and B is