Force on Strip in YDSE!

Figure shows two identical narrow slits \(S_1\) and \(S_2\).

A very small completely absorbing strip is placed at distance '\(y\)' from the point \(C\).

'\(C\)' is the point on the screen equidistant from \(S_1\) and \(S_2\).

Assume (\(\lambda << d << D\)) where \(\lambda, d\) and \(D\) have usual meaning.

When \(S_2\) is covered, the force due to light acting on strip is '\(F\)' and when both slits are opened the force acting on strip is \(2F\). Minimum positive '\(y\)' (\(<<D\)) coordinate of the strip in terms of \(\lambda, d\) and \(D\) is \(\frac{\lambda D}{2md}\).

What is the value of \(m\)?


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