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A small telescope has an objective lens of focal length 144 cm and an eyepiece of focal length 6.0 cm. What is the magnifying power of the telescope? What is the separation between the objective

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प्रश्न

A small telescope has an objective lens of focal length 144 cm and an eyepiece of focal length 6.0 cm. What is the magnifying power of the telescope? What is the separation between the objective and the eyepiece?

संख्यात्मक
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उत्तर

Focal length of the objective lens, fo = 144 cm

Focal length of the eyepiece, fe = 6.0 cm

The magnifying power of the telescope is given as:

`"m" = ("f"_"o")/"f"_"e"`

= `144/6`

= 24

The separation between the objective lens and the eyepiece is calculated as:

fo + fe 

= 144 + 6

= 150 cm

Hence, the magnifying power of the telescope is 24 and the separation between the objective lens and the eyepiece is 150 cm.

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पाठ 9: Ray Optics and Optical Instruments - EXERCISES [पृष्ठ २५०]

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एनसीईआरटी Physics Part I and II [English] Class 12
पाठ 9 Ray Optics and Optical Instruments
EXERCISES | Q 9.13 | पृष्ठ २५०
एनसीईआरटी Physics Part I and II [English] Class 12
पाठ 9 Ray Optics and Optical Instruments
Exercise | Q 9.13 | पृष्ठ ३४५

संबंधित प्रश्‍न

  1. A giant refracting telescope at an observatory has an objective lens of focal length 15 m. If an eyepiece of focal length 1.0 cm is used, what is the angular magnification of the telescope?
  2. If this telescope is used to view the moon, what is the diameter of the image of the moon formed by the objective lens? The diameter of the moon is 3.48 × 106 m, and the radius of lunar orbit is 3.8 × 108 m.

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

  1. the telescope is in normal adjustment (i.e., when the final image is at infinity)?
  2. the final image is formed at the least distance of distinct vision (25 cm)?

Why should the objective of a telescope have large focal length and large aperture? Justify your answer. 


Write two important advantages of reflecting telescope over a refracting telescope.


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1) Which lenses should be used as objective and eyepiece? Justify your answer.

2) Why is the aperture of the objective preferred to be large?


Draw a labelled ray diagram of an image formed by a refracting telescope with the final image formed at infinity. Derive an expression for its magnifying power with the final image at infinity


State the condition under which a large magnification can be achieved in an astronomical telescope.


"A telescope resolves whereas a microscope magnifies." Justify this statement ?


Define its magnifying power and write the expression for it?


How is the working of a telescope different from that of a microscope?


Draw a labeled ray diagram of a reflecting telescope. Mention its two advantages over the refracting telescope.


A giant refracting telescope at an observatory has an objective lens of focal length 15 m. If an eyepiece lens of focal length 1.0 cm is used, find the angular magnification of the telescope. If this telescope is used to view the moon, what is the diameter of the image of the moon formed by the objective lens? The diameter of the moon is 3.42 × 106 m and the radius of the lunar orbit is 3.8 × 108 m.


Draw a labelled ray diagram of an astronomical telescope in the near point adjustment position. A giant refracting telescope at an observatory has an objective lens of focal length 15 m and an eyepiece of focal length 1.0 cm. If this telescope is used to view the Moon, find the diameter of the image of the Moon formed by the objective lens. The diameter of the Moon is `3.48 xx 10^6`m, and the radius of the lunar orbit is `3.48 xx 10^8`m.


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.


In an astronomical telescope in normal adjustment, a straight black line of length L is drawn on the objective lens. The eyepiece forms a real image of this line whose length is 𝑙. What is the angular magnification of the telescope?


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?

Useful Constants & Relations:

1 Charge of a proton e 1.6 × 10-19 C
2 Speed of light in vacuum c 3 × 108 ms-1
    1 u = 931 MeV

Assertion: An astronomical telescope has an objective lens having large focal length.

Reason: Magnifying power of an astronomical telescope varies directly with focal length of the objective lens.


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