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A Galilean Telescope is 27 Cm Long When Focussed to Form an Image at Infinity. If the Objective Has a Focal Length of 30 Cm, What is the Focal Length of the Eyepiece?

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प्रश्न

A Galilean telescope is 27 cm long when focussed to form an image at infinity. If the objective has a focal length of 30 cm, what is the focal length of the eyepiece?

थोडक्यात उत्तर
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उत्तर

The image will be formed at infinity.
Given:
Focal length of the objective, f0 = 30 cm  Length of the tube, L = 27 cm

Now,

L = f0 - |fe|

n a Galilean telescope, the eyepiece lens is concave.
Thus, we have:

fe =  f0 -L = 30 - 27 = 3 cm

 

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पाठ 19: Optical Instruments - Exercise [पृष्ठ ४३२]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 19 Optical Instruments
Exercise | Q 14 | पृष्ठ ४३२

संबंधित प्रश्‍न

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)?

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


You are given three lenses of power 0.5 D, 4 D, and 10 D to design a telescope.

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?


With regard to an astronomical telescope of refracting type~ state how you will increase its:

1) magnifying power

2) resolving power


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


Describe briefly the two main limitations and explain how far these can be minimized in a reflecting telescope ?


Write two important limitations of a refracting telescope over a reflecting-type telescope.


Define its magnifying power and write the expression for it?


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.


An astronomical telescope is to be designed to have a magnifying power of 50 in normal adjustment. If the length of the tube is 102 cm, find the powers of the objective and the eyepiece.


The eyepiece of an astronomical telescope has a focal length of 10 cm. The telescope is focussed for normal vision of distant objects when the tube length is 1.0. m. Find the focal length of the objective and the magnifying power of the telescope.


Draw a ray diagram of a refracting astronomical telescope when final image is formed at infinity. Also write the expression for its angular magnification (magnifying power).


With the help of a ray diagram explain the working of a reflecting telescope.


Draw a labelled ray diagram showing the image formation by a refracting telescope. Define its magnifying power.


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.


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.
  1. Rohit observed the launch of Chandrayan 3 with the help of an optical instrument. Name the instrument used by him.
  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:

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    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.


A small telescope has an objective of focal length 140 cm and an eye piece of focal length 5.0 cm. The magnifying power of telescope for viewing a distant object?


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