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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 - Physics

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

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एनसीईआरटी Physics [English] Class 12
अध्याय 9 Ray Optics and Optical Instruments
EXERCISES | Q 9.13 | पृष्ठ २५०

संबंधित प्रश्न

Draw a labeled ray diagram to obtain the real image formed by an astronomical telescope in normal adjustment position. Define its magnifying power.


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.


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

1) magnifying power

2) resolving power


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


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.


A lady cannot see objects closer than 40 cm from the left eye and closer than 100 cm from the right eye. While on a mountaineering trip, she is lost from her team. She tries to make an astronomical telescope from her reading glasses to look for her teammates. (a) Which glass should she use as the eyepiece? (b) What magnification can she get with relaxed eye?


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


An astronomical telescope uses two lenses of powers 10 dioptres and 1 dioptre. If the final image of a distant object is formed at infinity, calculate the length of the 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’. 


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.

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


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.
  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

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