1.

In Young's double-slit experiment, the distance between slits and the screen is 1.0 m and monochromatic light of 600 nm is being used. A person standing near the slits is looking at 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))^(@) , the value of d_0 is close to :

Answer»

1 mm
2 mm
4 mm
3 mm

Solution :Angular width of the fringe ,
`THETA = beta/D = (lambda D//d)/(D) = lambda/(d_0) implies lambda/(d_0) = (1^@)/(60) = (pi)/(180 xx 60)`
`d_0 = lambda((180 xx 60)/(pi)) = 206394.26 xx 10^(-9)m = 2 xx 10^(-3) m`.
`= 2mm` (approximately)


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