To have the highest magnification in a telescope, the focal length of the objective lens should be and the focal length of the eyepiece lens should be .

Large; small.

Explanation:

A telescope can be defined as an optical instrument or device which comprises of a curved mirror and lenses used for viewing distant objects i.e objects that are very far away such as stars and other planetary bodies. The first telescope was invented by Sir Isaac Newton.

Magnification can be defined as a process in which the size of an object is increased or enlarged by a percentage and as such making the object bigger than its original size.

A lens can be defined as a transparent optical instrument that refracts rays of light to produce a real image.

Basically, there are two (2) main types of lens and these includes;

I. Diverging (concave) lens.

II. Converging (convex) lens.

In order to have the highest magnification in a telescope, the focal length of the objective lens should be large and the focal length of the eyepiece lens should be small.

This ultimately implies that, the eyepiece lens should have a small focal length while the objective lens should have a large focal length.