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 d 0 between the slits. If the angular resolution of the eye is 1 60 ° , then the value of d 0 is close to

Question

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 d 0 between the slits. If the angular resolution of the eye is 1 60 ° , then the value of d 0 is close to, 1 mm, 3 mm, 2 mm, 4 mm

MARKS App · Accepted Answer

When the angular fringe width in the interference pattern becomes less than the angular resolving power of the person's eye, the fringes will disappear. The angular fringe width θ 0 = β D = λ d 0 d 0 = λ θ 0 = 600 × 10 − 9 ( 1 60 × π 180 ) d 0 = 600 × 60 × 180 × 10 − 9 π m = 2 mm

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