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Question:

How does the angular separation between fringes in a single slit diffraction experiment change when the distance of separation between the slit and screen is doubled?

Solution:

In a single slit experiment, the angular separation is given by
θ = λ/a
where λ is the wavelength of incident light and
a is the slit width.
So, it is independent of separation (D) of slit and screen. Thus, the angular separation will be unchanged.