A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since :
Correct Answer :
All of the above.
Solution :
In an astronomical telescope the objective lens serves two crucial roles: it must collect as much light as possible from faint celestial objects, and it must form a sharp, high‑resolution image that can be magnified by the eyepiece.
**1. Light‑gathering power** – The amount of light a lens can collect is proportional to the area of its aperture. The area is , where
**2. Image quality and visibility** – With more light reaching the focal plane, the contrast of fine details improves. This enhances the overall quality of the image and makes subtle features easier to discern.
**3. Resolution** – The diffraction limit of a circular aperture is given by . Increasing
**4. Large focal length** – A long focal length produces a larger image scale on the detector or eyepiece, which reduces off‑axis aberrations and allows finer detail to be examined after magnification.
Because a large aperture simultaneously boosts light‑gathering ability, improves image quality and visibility, and provides superior resolution, the statement that “All of the above” is true.
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