Question:

The magnification produced by an astronomical telescope for normal adjustment is 10 and the length of the telescope is 1.1m. The magnification, when the image is formed at least distance of distinct vision is

Updated On: Aug 15, 2024
  • 6
  • 14
  • 16
  • 18
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

Magnification $ \frac{{{f}_{o}}}{{{f}_{e}}}=10 $ or $ {{f}_{o}}=10{{f}_{e}} $ Given $ {{f}_{e}}+{{f}_{o}}=1.1\,m $ $ {{f}_{e}}+10{{f}_{e}}=1.1\times 100\,cm $ $ 11{{f}_{e}}=110 $ $ {{f}_{e}}=10 $ Magnification at least distance of distinct vision $ {{M}_{b}}=\frac{{{f}_{o}}}{{{f}_{e}}}\left( 1+\frac{{{f}_{e}}}{D} \right) $ $ =10\left( 1+\frac{10}{25} \right)=10\left( \frac{35}{25} \right)=14 $
Was this answer helpful?
0
0

Concepts Used:

Optical instruments

A device that processes light waves (or photons), either to enhance an image for viewing or to analyze and determine its characteristic properties is called an optical instrument (or "optic" for short).

Applications of Optical Instruments:

  1. Microscope - It is one of the most extensively used optical instruments comprised of only one lens or combination of the lenses for magnifying and inspecting bodies that are too small to be seen in detail by clear eyes. Earlier microscopes had only one lens, and are, therefore, called simple microscopes, but the present microscopes are accessible with at least two lenses and thereby, termed a compound microscope.
  2. Telescope - It is another remarkable optical instrument. It makes distant objects emerge nearer by using an arrangement of lenses or lenses and curved mirrors that is used to observe the objects by absorption, emission, and reflection of their electromagnetic radiation to furnish a magnified image. As they are used to view objects that are far away, they include at least two lenses.