An astronomical telescope has an angular magnification of magnitude `5` for distant object. The separation between the objective and eyepiece is `36cm` and the final image is formed at infinity. Determine the focal length of objective and eyepiece.

Explanation

For astronomical telescope , `|m|=((f_(0))/(f_(e)))=5` and `L=f_(0)+f_(e)=36`
`implies5f_(e)+f_(e)=36 "or" f_(e)=6cmimpliesf_(0)=30cm`