Final answer:
To find the angular magnification of a reflecting telescope, use the formula M = fobjective / feyepiece. With an objective mirror radius of curvature of 10.0 m and a 3.00 cm eyepiece focal length, M calculates to approximately 166.67×, not matching the provided options.
Step-by-step explanation:
The question relates to the calculation of the angular magnification provided by a reflecting telescope when using an eyepiece with a certain focal length. To find the angular magnification (M), the formula M = fobjective / feyepiece is used. The objective's focal length (fobjective) is half the radius of curvature, so in this case, it's 5.0 m (since the given radius of curvature is 10.0 m). The eyepiece's focal length (feyepiece) is 3.00 cm or 0.03 m. Therefore, the magnification is M = 5.0 m / 0.03 m, which calculates to approximately 166.67. However, none of the multiple-choice options exactly match this result, suggesting a possibility of a typo or mistake in the question or options provided. It is important for the student to verify with the relevant course materials or instructor.