What is the relation of higher magnification telescopes to focal length?

Higher magnification in telescopes is directly related to the focal length of the telescope's optics. When magnification increases, it typically requires a longer focal length. This is because magnification is determined by the ratio of the focal lengths of the telescope's primary mirror or lens to that of the eyepiece.

In practical terms, a telescope with a longer focal length will allow for higher magnification because it can gather and focus light over a greater distance, making distant objects appear larger and more detailed to the observer. Conversely, shorter focal lengths generally yield lower magnification, as they focus the light over a shorter distance, leading to a wider field of view but less detailed images of distant celestial bodies.

Thus, when considering the relationship between magnification and focal length, the correct understanding is that higher magnification requires a longer focal length, making the selection of optical components critical for achieving the desired viewing experience in astronomy and other fields that utilize telescopes.