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Question

In Youngs double slit experiment, an interference patterns is obtained for λ=6000 ˚A, coming from two coherent sources S1 and S2. At certain point p on the screen third dark fringe is formed. Then , the path difference S1PS2P in microns is:

A
0.75
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B
1.5
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C
3.0
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D
4.5
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Solution

The correct option is B 1.5

It is the case of destructive interference where a dark fringe is formed. So,

λ=6000˙A

n=3

S1PS2P=(2n1)λ2

S1PS2P=(2×31)60002

=5×60002=15000˙A=1.5microns


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