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In an experiment to demonstrate interference of light using Young’s double slits, separation of two slits is doubled. In order to maintain same spacing of fringes, distance D of screen from slits must be changed to kD. What is the value of k?

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a

1

b

2

c

4

d

3

answer is B.

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Detailed Solution

Fringe width , β=λDd To keep β same, D∝d If d is doubled, then D is also doubled. Hence, D' = 2D ∴ k = 2

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In an experiment to demonstrate interference of light using Young’s double slits, separation of two slits is doubled. In order to maintain same spacing of fringes, distance D of screen from slits must be changed to kD. What is the value of k?