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.