Two convex lenses of same focal length but of aperture `A_(1)` and `A_(2)(A_(2) lt A_(1))` are used as the objective lenses in two astronomical telescope having identical eye pieces. What is the ratio of their resolving power ? Which telescope will you prefer and why ? Give reason.

Explanation

Resolving Power,
`R.P.=a/(1.22 lambda):. ((R.P.)_1)/((R.P.)_2)=A_1/A_2`
The telescope with objective of aperture A, should be preferred for viewing as this would :
(i) Give a better resolution.
(ii) Have a higher light gathering power of telescope.