How Does Covering One Slit Affect the Double Slit Experiment's Fringe Intensity?

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The discussion focuses on the impact of covering one slit in Young's Double Slit experiment on fringe intensity. When one slit is covered with a filter that reduces the amplitude of light by half, the resulting intensity pattern changes significantly. The intensity of the fringe pattern can be expressed in terms of the original intensity, I_{o}, leading to a new graph that illustrates the variation of intensity with distance 'y'. The fringe width increases as the distance from the slits to the screen decreases, but the intensity does not remain constant when one slit is covered.

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konichiwa3x
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1. In a typical set up of Young's Double Slit experiment, if the widths of the slits are assumed to be infinitely small and 'y' is the distance from the central maxima on the screen, sketch a clearly labelled graph to show the variation of the intensity of the fringe pattern with 'y'. The intensity of the waves from each slit is [tex]I_{o}[/tex]. Express the intensity in terms of [tex]I_{o}[/tex].

My thoughts: The fringe width increases when the distance of the slits from the screen decreases. But doesn't the intensity remain constant??

2. If one of the slits is now covered with a filter such that the light emerging from it is reduced in half the amplitude, sketch on the same graph for the previous question, the new intensity pattern you would expect to observe.

Please help me with the questions.
 
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