hi I have a question on wave interference. Please help me, i can think of an answer by guessing, but i can't provide a proof or explain this to myself.
in single or double slit experiment, what change will happen to the interference pattern when the slit width is increased or decreased (other variables held constant)? This is not about the slit separation, but rather the size of the slit itself. by the way, does the pattern becomes less bright than before if slit width is decrease and vice versa?
from what i learned, the smaller the size of slit, the larger the diffraction. hence when the slit width decrease, there should be an increase in fringe separation or number of order, but i dont know why. however, given the equation n(lambda)=dsin(theta) where n is number of order, lambda is wavelength and d is slit width(for single slit) or slit separation for (double slit), a decrease in slit width should lead to a decrease in the number of order, shouldn't it? then there is a contradiction with the first statement. can someone explain this to me?