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4
L
=
m
λ
where
m
= some positive integer .
For destructive interference (which is obtained for
λ′
= 4196 nm) we require
4
L
=
k
2
λ′
where
k
= some positive odd
integer .
Equating these two equations (since their lefthand sides are equal) and rearranging, we
obtain
k
= 2
m
λ
λ′
= 2
m
620
496
=
2.5
m .
We note that this condition is satisfied for
k
= 5 and
m
= 2.
It is satisfied for some larger
values, too, but – recalling that we want the least possible value for
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 Spring '08
 Any
 Physics

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