TeXes Science Practice Test

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What is the magnification equation for a refractive telescope?

M = fo + fe
M = fo/fe
M = fo - fe
M = fe/fo

The correct answer is: M = fo/fe

The magnification equation for a refractive telescope is derived from the focal lengths of the two lenses involved: the objective lens and the eyepiece lens. In this context, 'fo' represents the focal length of the objective lens, while 'fe' denotes the focal length of the eyepiece lens. The correct formula is M = fo/fe, which means that the magnification (M) is obtained by dividing the focal length of the objective lens by the focal length of the eyepiece lens. This relationship arises because the objective lens gathers light from a distant object, forming a real inverted image, while the eyepiece lens then magnifies this image for the viewer. The longer the focal length of the objective lens compared to the eyepiece lens, the greater the magnification will be. This makes it essential to understand that a larger 'fo' increases magnification, while a shorter 'fe' also contributes to increased magnification. Thus, the formula accurately reflects how these focal lengths interact to produce the telescope's overall magnification capability. Understanding this equation is crucial for anyone studying optics or working with telescopes, as it provides insight into how the design and configuration of the lenses affect the viewer's experience.