Two convex lenses of same focal length but of aperture A₁ and A₂(A₂ < A₁), are used as the objective lenses in two astronomical telescopes having identical eyepieces. What is the ratio of their resolving power? Which telescope will you prefer and why? Give reason.

Solution

Resolving power is given by, R = $fraction numerator A over denominator 122 space lambda end fraction$ ; where A is the aperture.
$therefore space space space space space space space space R subscript 1 over R subscript 2 equals A subscript 1 over A subscript 2$
Magnification of telescope is given by, m = $f subscript o over f subscript e$

m is same for both.
Inorder to view the finer details of the object we use telescope of high resolving power.

Therefore, telescope having convex lens aperture A₁is used

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Wave Optics

Two convex lenses of same focal length but of aperture A₁ and A₂(A₂ < A₁), are used as the objective lenses in two astronomical telescopes having identical eyepieces. What is the ratio of their resolving power? Which telescope will you prefer and why? Give reason.

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Two convex lenses of same focal length but of aperture A1 and A2 (A2 < A1), are used as the objective lenses in two astronomical telescopes having identical eyepieces. What is the ratio of their resolving power? Which telescope will you prefer and why? Give reason.

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Two convex lenses of same focal length but of aperture A₁ and A₂(A₂ < A₁), are used as the objective lenses in two astronomical telescopes having identical eyepieces. What is the ratio of their resolving power? Which telescope will you prefer and why? Give reason.