The convex lenses of same focal length but of apertures 5 cm and 10 cm are used as objective lenses in two astronomical telescopes.
(i) What will be the ratio of their resolving power?
(ii) Compare the intensity of image formed in two power?

Solution

Given, two convex lenses.
Aperture of first lens = 5 cm
Aperture of second lens = 10 cm

i) Resolving power is directly proportional to the diameter.
Therefore, the ratio of resolving power is,

$\frac{R . P_{1}}{R . P_{2}} = \frac{5}{10} = \frac{1}{2}$

ii) Intensity is directly proportional to the area of objective lens.

$∴$ $\frac{I_{1}}{I_{2}} = \frac{5^{2}}{10^{2}} = \frac{1}{4}$

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Wave Optics

The convex lenses of same focal length but of apertures 5 cm and 10 cm are used as objective lenses in two astronomical telescopes.
(i) What will be the ratio of their resolving power?
(ii) Compare the intensity of image formed in two power?

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Wave Optics

The convex lenses of same focal length but of apertures 5 cm and 10 cm are used as objective lenses in two astronomical telescopes.(i) What will be the ratio of their resolving power?(ii) Compare the intensity of image formed in two power?

Some More Questions From Wave Optics Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The convex lenses of same focal length but of apertures 5 cm and 10 cm are used as objective lenses in two astronomical telescopes.
(i) What will be the ratio of their resolving power?
(ii) Compare the intensity of image formed in two power?