The telsescope in an observatory has an objective of diameter of 2.54 m. Calculate the smallest angle subtended by two stars if they are just resolved, taking the wavelength of the light to be 508 nm.

Explanation

Objective diameter , a=2.54 m
Wave length, `lamda=508 nm=5.08 times10^-7 m`
`Deltatheta=(1.22 lamda)/a=(1.22 times5.08 times10^-7)/2.54=2.44 times10^-7 rad`