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

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एनसीईआरटी Physics Part 1 and 2 [English] Class 12
पाठ 9 Ray Optics and Optical Instruments
EXERCISES | Q 9.13 | पृष्ठ २५०

संबंधित प्रश्‍न

Draw a schematic ray diagram of a reflecting telescope showing how rays coming from a distant object are received at the eyepiece.


  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.


Draw a ray diagram showing the image formation of a distant object by a refracting telescope ?


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


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


Define its magnifying power and write the expression for it?


A small telescope has an objective lens of focal length 150 cm and an eye piece of focal length 5 cm. If this telescope is used to view a 100 m high tower 3 km away, find the height of the final image when it is formed 25 cm away from the eye piece.


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.


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.

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.


Draw a ray diagram for the formation of image of an object by an astronomical telescope, in normal adjustment. Obtain the expression for 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.


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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