Two narrow slits emitting light in phase are separated by

Two narrow slits emitting light in phase are separated by a distance of $1.0 \mathrm{~cm}$. The wavelength of the light is $5.0 \times 10^{-7} \mathrm{~m}$. The interference pattern is observed on a screen placed at a distance of $1.0 \mathrm{~m}$.

(a) Find the separation between the consecutive maxima. Can you expect to distinguish between these maxima?

(b) Find the separation between the sources which will give a separation of $1.0 \mathrm{~mm}$ between the consecutive maxima.