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Question
If the monochromatic source in Young's double slit experiment is white light, then ____________.
Options
fringe pattern in not observed
central fringe is white and the fringe closest on either side of the central white fringe is red
central fringe is white and the fringe closest on either side of the white fringe is blue
central fringe is white and the fringe closest on either side of the white fringe is dark
Solution
If the monochromatic source in Young's double slit experiment is white light, then central fringe is white and the fringe closest on either side of the central white fringe is red.
Explanation:
The interference patterns due to different component colours of white light overlap. The central bright fringes for different colours are at the same position. Hence, the central fringe is white.
For a point P for which `S_2P - S_1P = lambda_b/2 where lambda_b (= 4000 Å)` represents wavelength of blue light, the blue component will be absent and the fringe will appear red in colour.
Slightly farther away where `S_2Q - S_1Q = lambda_b = (lambda_r)/ 2` where
`lambda_r (= 8000 Å)`is the wavelength for the red colour, the fringe will be predominantly blue. Thus, the fringe closest on either side of the central white fringe is red and the farthest will appear blue.