Miscellaneous: Practice Problem & Solution
Assertion (A): The resolving power of a telescope is more if the diameter of the objective in more. Reason (R): Objective lens of larger focal length collect more light.
Solution Explained:
To solve this problem, we apply the core principles of Miscellaneous. Understanding the underlying formula is key to arriving at the correct answer below:
The resolving power of a telescope is \(\text{R.P.} = \frac{\text{D}}{\text{1.22}\lambda}\) where \(\text{D}\) is the diameter. Thus, larger \(\text{D}\) means higher \(\text{R.P.}), so (A) is true. Light collection depends on aperture (diameter), not directly on focal length. So, Reason (R) is false.
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