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

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

  1. For the telescope is in normal adjustment (i.e., when the final image is at infinity)? what is the separation between the objective lens and the eyepiece?
  2. If this telescope is used to view a 100 m tall tower 3 km away, what is the height of the image of the tower formed by the objective lens?
  3. What is the height of the final image of the tower if it is formed at 25 cm?

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


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


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


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


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


Define its magnifying power and write the expression for it?


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 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.


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.


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).


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.

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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