M1 and m2 are two plane mirrors which are kept parallel to each other a shown. There is a point o on perpendicular screen just in front of s
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Answer:
Light emerging from point S gets reflected from mirrors M
1
and M
2
, to interfere constructively at point O.
This means that path difference between light travelling SM
1
O and SM
2
O must be λ.
As shown in the figure, path SM
1
O=2
(
2
D
)
2
+(
2
d
)
2
path SM
2
O=2
(
2
D
)
2
+d
2
2
(
2
D
)
2
+d
2
− 2
(
2
D
)
2
+(
2
d
)
2
=λ
Thus using Bionomial expansion, λ comes out to be
2D
3d
2
.
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