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

`m=- (f_(0))/(f_(e))`
`-5 =- (f_(0))/(f_(e)) rArr f_(0) = 5f_(e)`
`L = f_(0) +f_(e)`
`36 = 5f_(e) +f_(e) rArr f_(e) = 6cm, f_(0) = 30cm`