In Young's double slit experiment the distance between the slits is 1 mm. Find the width of each slit of YDSE setup so that 10th maxima of the double slit pattern is within the central maximum of the single slit pattern?

The angular separation between n  bright fringes, θn=xnD=nλd Fringes, θn=xnD=nλd For 10 bright fringes, θ10=10λdThe angular width of the central maximum in the diffraction pattern due to slit of width a is2θ1=2λa Now 10λd≤2λa or a≤d5=15mn=0.2mn