plz answer this question :- In a double slit diffraction arrangement , what should be the width of each slit to obtain 10 maxima of double slit pattern within the central maximum of the single slit pattern ? [ two slits are made 1mm apart ]
the slit width-wavelength relation is given as
aθ = λ
where
a is the slit width
θ is the angular separation and
λ is the wavelength
so,
θ = λ/a
now, in this case we have
width of each slit = width of ten maxima
so,
10(λ/d) = 2(λ/a)
or
a = d/5
thus, the slit width will be
a = 1/5 = 0.2 mm