Statement 1: Interference pattern is obtained on a screen due to two identical coherent sources of monochromatic light. The intensity at the central part of the screen becomes one-fourth if one of the source is blocked.
Statement 2: The resultant intensity is the sum of the intensities due to two sources.

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Statement 1 is false, Statement 2 is true.

Statement 1 is true, Statement 2 is false.

Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation for Statement 1

Statement 1 is true, Statement 2 is true, Statement 2 is the not correct explanation for Statement 1

answer is B.

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Detailed Solution

Intensity in case of interference at any point of screen is given by
I = I₁ + I₂+ 2 $\sqrt{I_{1} I_{2}}$ cos $△ ϕ$ = 2I₁ + 2 $\sqrt{I_{1} I_{2}}$ cos $ϕ$
$\neq$ Sum of the intensities due to two slits.
In case, neither slit is blocked, at central part screen, $△ ϕ$ = 0, so I₀ = 4I₁
Now when one of the slits is blocked then interference disappears and intensity at centre is just due to one of slits and it becomes I₁ ,i.e. $\frac{I_{0}}{4}$ .
So option (c) is correct and option (d) is incorrect.