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The magnifying power of an astronomical telescope in normal adjustment is 2.9 and the objective and the eyepiece are separated by a distance of 150 cm. Find the focal lengths of the two lenses. - Physics

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प्रश्न

The magnifying power of an astronomical telescope in normal adjustment is 2.9 and the objective and the eyepiece are separated by a distance of 150 cm. Find the focal lengths of the two lenses.

संख्यात्मक

उत्तर

Given: D = 150 cm, m = 2.9

fo = ?

Since, `m = f_o/f_e`

D = `f_o + f_e`

`2.9 = f_o/f_e`

`f_o = f_e xx 2.9` .....(i)

`f_o + f_e = 150` cm

From equation (i),

`2.9 f_e + f_e = 150`

`3.9f_e = 150`

fe = 38.46 cm

fo = 2.9 × 38.46

fo = 111.54 cm

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Optical Instruments: Telescope
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2022-2023 (March) Delhi Set 1

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Draw a schematic ray diagram of a reflecting telescope showing how rays coming from a distant object are received at the eyepiece.


A small telescope has an objective lens of focal length 140 cm and an eyepiece of focal length 5.0 cm. What is the magnifying power of the telescope for viewing distant objects when

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  2. the final image is formed at the least distance of distinct vision (25 cm)?

Write the two important factors considered to increase the magnifying power?


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The focal lengths of the objective and eyepiece of a microscope are 1.25 cm and 5 cm respectively. Find the position of the object relative to the objective in order to obtain an angular magnification of 30 in normal adjustment.


(i) What is meant by resolving power of a telescope?
(ii) State any one method of increasing the resolving power of an astronomical telescope.


Draw a labelled ray diagram showing the formation of an image by a refracting telescope when the final image lies at infinity.


Draw a ray diagram for the formation of image of an object by an astronomical telescope, in normal adjustment. Obtain the expression for its magnifying power.


Read the passage given below and answer the question that follows.

There are two types of optical instruments: Microscopes and Telescopes. Microscopes are used to magnify very tiny objects whereas telescopes are used to study distant objects. Both of them deploy convex lenses. In his telescope, Newton used a large parabolic mirror to collect light from the stars and reduce aberrations.
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  2. State any one advantage of a reflecting telescope over a refracting telescope.
  3. Which instrument is used to study the structure of a virus?
  4. What is the ability of an optical instrument to form enlarged images called?
  5. What is the difference between a compound microscope and an astronomical telescope (refracting type), as far as their lenses are concerned?

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