Final answer:
The assertion that a telescope has higher resolving power with a larger diameter objective lens is true. However, the reason given, which states that a larger lens collects more light, does not explain why the resolving power is improved. The actual reason for improved resolving power is the reduced diffraction limit provided by the larger aperture.
"the correct option is approximately option B"
Step-by-step explanation:
The question posed revolves around the resolving power of a telescope and the influence of the objective lens' diameter on it. The assertion states that the resolving power of a telescope is more if the diameter of the objective lens is larger.
This assertion is indeed true, as a bigger diameter of the objective lens allows the telescope to not just collect more light, but also to have a finer resolution. Resolution in optical systems, such as telescopes, is limited by diffraction, and larger apertures reduce the diffraction limit, thus resulting in better resolution.
On the other hand, the reason provided is that the objective lens of large diameter collects more light. While the reason is accurate in terms of light collection, it is not the correct explanation for why the resolving power is higher. It's the reduced diffraction limit due to the larger diameter that primarily enhances the resolving power. Therefore, the answer is B. assertion and reason both are correct but reason is not correct explanation of assertion.