JEE Main 2005 Physics question

If is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

(1)
(2)Correct
(3)
(4)

Answer: (2)

Solution

Doubling the slit width doubles the amplitude reaching the central point (all secondary wavelets from the slit arrive in phase there), so the central intensity, amplitude², becomes . Consistently, twice the light energy passes through while

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Question ID VK-038578