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Image Formation by Convex Lens

Two convex le...

Question

Two convex lenses of same focal length but of apertures 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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Solution

Dear student
$R e s o l v i n g p o w e r o f t e l e s c o p e i s g i v e n a s a) P = \frac{l e n g t h o f a p e r t u r e}{1.22 \times λ \times f_{o b j e c t i v e l e n s}} r a t i o o f r e s o l v i n g p o w e r o f t h e l e n s e s i s \frac{P_{1}}{P_{2}} = \frac{A_{1}}{A_{2}} (o t h e r s f a c t o r s a r e s a m e) b) O b j e c t i v e l e n s o f l a r g e f o c a l l e n g t h i s p r e f f e r e d o v e r s m a l l f o c a l l e n g t h . R e g a r d s$

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Q. Two convex lenses, of equal focal length but of aperture A1 and A2 (A1> A2) are used as the objective lenses in two astronomical telescopes have indentical eye-piece
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II) Normal magnifying power
III) Intensity of the image formed by them
Which of the telescopes should be preferred? Why?

Q. You are given the following three lenses. Which two lenses will you use as an eyepiece and as an objective to construct an astronomical telescope ? Give reason.

Q. An astronomical telescope and a Galilean telescope use identical objective lenses. They have the same magnification, when both are in normal adjustment. The eyepiece of the astronomical telescope has a focal length

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(b) You are given the following three lenses. Which two lenses will you use as an eyepiece and as an objective to construct an astronomical telescope ? Give reason.

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Lenses	Power	Aperture
$L_{1}$	$3 D$	$8 cm$
$L_{2}$	$6 D$	$1 cm$
$L_{3}$	$10 D$	$1 cm$

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