What is the magnification of an astronomical telescope whose objective lens has a focal length of 74 cm and whose eyepiece has a focal length of 2.4 cm ? Follow the sign conventions.

Respuesta :

Answer:

The magnification of an astronomical telescope is -30.83.

Explanation:

The expression for the magnification of an astronomical telescope is as follows;

[tex]M=-\frac{f_o}{f_e}[/tex]

Here, M is the magnification of an astronomical telescope, [tex]f_e[/tex] is the focal length of the eyepiece lens and [tex]f_o[/tex] is the focal length of the objective lens.

It is given in the problem that an astronomical telescope having a focal length of objective lens 74 cm and whose eyepiece has a focal length of 2.4 cm.

Put [tex]f_o=74 cm[/tex] and [tex]f_e=2.4 cm[/tex] in the above expression.

[tex]M=-\frac{74}{2.4}[/tex]

M=-30.83

Therefore, the magnification of an astronomical telescope is -30.83.

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