Final answer:
The angular magnification of the telescope with a 100 cm focal length objective and a 2.50 cm focal length eyepiece is 10x.
Step-by-step explanation:
The angular magnification of a telescope can be calculated using the formula:
M = -(fe/fo)
Where M represents the angular magnification, fe is the focal length of the eyepiece, and fo is the focal length of the objective lens.
In this case, the focal length of the objective lens is 100 cm and the focal length of the eyepiece is 2.50 cm. Plugging these values into the formula, we get:
M = -(2.50/100) = -0.025
Since the angular magnification cannot be negative, the answer is 10x (option c).