Figure shows two, identical narrow slits
and
. A very small completely absorbing strip is placed at distance ' y ' from the point C. ‘C’ is the point on the screen equidistant from
and
. Assume
, where λ, d and D have usual meaning. When
is covered the force due to light acting on strip is ‘f’ and when both slits are opened the force acting on strip is 2f. The minimum positive ‘y’ (<<D) coordinate is
. Find the value of x.

Text Solution
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(4)
Let
be the intensity at P due to individual slits
or
.
When waves due to both the sources superpose at P, the net intensity at P is

Since force on strip at P is twice due to individual source Hence,
.

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