JEE Main PAPER - 1

The angular width of the central maximum in a single slit diffraction pattern is $60^\circ$  . The width of the slit is $1 \mu \text{m}$  . The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young's fringes can be observed on a screen placed at a distance $50 \text{ cm}$   from the slits. If the observed fringe width is $1 \text{ cm}$  , what is slit separation distance? (i.e. distance between the centres of each slit.)