Concept:For a single slit diffraction pattern, the angular fringe separation depends only on the slit width and the wavelength of light, not on the screen distance.
Explanation:The positions of the minima in single slit diffraction are given by:
asinθ=nλHere,
a is the slit width,
λ is the wavelength,
θ is the angular position, and
n is the order of the minimum.
For small angles,
sinθ≈θ, so we can write:
θ=anλThis expression shows that
θ depends only on
λ and
a.
It does not contain the screen distance
D.
Therefore, when the slit-to-screen distance is doubled, the angular separation between fringes remains unchanged.
Only the linear separation on the screen would change because it is given by
y=Dθ.
But the question asks about the angular separation, which is independent of
D.
Answer:The angular separation remains the same.
Correct option: C. remains same.