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JEE Main 2016 Physics question

PhysicsWave OpticsJEE Main 2016

In Young's double-slit experiment, the distance between slits and the screen is 1 m and monochromatic light of wavelength 600 nm is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits is varied, the interference pattern disappears for a particular distance between the slits. If the angular resolution of the eye is , then the value of is close to

Answer: (3)

Solution

The fringe width on the screen is , and since the observer stands near the slits — a distance from the screen — the angle one fringe subtends at the eye is

θ = Missing argument for \frac\fracβ D = Missing argument for \frac\fracλ d.

The pattern becomes invisible when this angle drops to the eye's angular resolution.

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Question ID VK-115517