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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? - Physics

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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

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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Optical Instruments: Telescope
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पाठ 19: Optical Instruments - Exercise [पृष्ठ ४३२]

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एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
पाठ 19 Optical Instruments
Exercise | Q 14 | पृष्ठ ४३२

संबंधित 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?


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


Draw a ray diagram depicting the formation of the image by an astronomical telescope in normal adjustment.


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?


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


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?


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


Define magnifying power of a telescope. Write its expression.


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


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.


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.


(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 of Astronomical Telescope for the final image formed at infinity


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:

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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