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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?

संक्षेप में 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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अध्याय 19: Optical Instruments - Exercise [पृष्ठ ४३२]

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

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.

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


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

Lenses Power (D) Aperture (cm)
L1 3 8
L2 6 1
L3 10 1

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


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


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


Draw a labelled ray diagram of an astronomical telescope to show the image formation of a distant object. Write the main considerations required in selecting the objective and eyepiece lenses in order to have large magnifying power and high resolution of the telescope.


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


(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.


Define the term ‘resolving power of a telescope’. 


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

  1. the telescope is in normal adjustment,
  2. the final image is formed at the least distance of distinct vision.

Read the following paragraph and answer the questions.

A number of optical devices and instruments have been designed and developed such as periscope, binoculars, microscopes and telescopes utilising the reflecting and refracting properties of mirrors, lenses and prisms. Most of them are in common use. Our knowledge about the formation of images by the mirrors and lenses is the basic requirement for understanding the working of these devices.
  1. Why the image formed at infinity is often considered most suitable for viewing. Explain
  2. In modern microscopes, multicomponent lenses are used for both the objective and the eyepiece. Why?
  3. Write two points of difference between a compound microscope and an astronomical telescope
    OR
    Write two distinct advantages of a reflecting type telescope over a refracting type telescope.

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?


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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