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NEET PHYSICSEasy

A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since:

A

a large aperture contributes to the quality and visibility of the images.

B

a large area of the objective ensures better light-gathering power.

C

a large aperture provides a better resolution.

D

all of the above.

Step-by-Step Solution

  1. Light Gathering Power: The objective lens needs to collect light from distant, often faint, objects. The light-gathering power is directly proportional to the area of the objective lens (AreaAperture2Area \propto \text{Aperture}^2). A larger aperture ensures a brighter image, improving visibility.
  2. Resolving Power: The ability of a telescope to distinguish distinct details is called its resolving power, given by the formula RP=D1.22λRP = \frac{D}{1.22\lambda}, where DD is the aperture (diameter) of the objective. A larger aperture (DD) results in higher resolution.
  3. Image Quality: Since a large aperture improves both brightness (visibility) and resolution, it directly contributes to the overall quality of the image.
  4. Focal Length: A large focal length (fof_o) is required for high magnifying power, as magnification m=fo/fem = f_o/f_e. Thus, large focal length and large aperture are ideal characteristics.
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