CBSE Class 12 Physics 2023 Outside Delhi Set 2 Paper

Question : 9 of 13

Marks: +1, -0

In Young's double slit experiment, the separation between the two slits in

d

and distance of the screen from the slits is

1000 d

. If the first minima falls at a distance

d

from the central maximum, obtain the relation between

d

and

λ

Solution:

Position of

n^{\;\text "th "\;}

dark fringe from the centre is

y_n=(2 n-1) \;{λ D}/{d}

For

1^{\;\text "st "\;}

minima,

y_1\;=\;{λ D}/{2 d}

or,

d\;=\;{λ × 1000 d}/{2 d}

∴ \;\; d=500 λ

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