In Young's double-slit experiment, the first maxima is observed at a fixed point P on the screen. Now, the screen is continuously moved away from the plane of slits. The ratio of intensity at point P to the intensity at point O (center of the screen)

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keeps on decreasing

remains constant

first decreases and then becomes constant

first decreases and then increases

answer is C.

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Detailed Solution

$I_{P} = I_{m a x} (1 + \cos ϕ) = I_{m a x} (1 + \cos \frac{2 π y}{β})$ . Initially the ratio of intensity decreases as $\cos \frac{2 π y}{β}$ is negative but the ratio starts increasing again as $\cos \frac{2 π y}{β}$ starts becoming positive.

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