Question:

If the focal length of objective lens is increased then magnifying power of

Updated On: May 5, 2024
  • microscope will increase but that of telescope decrease
  • microscope and telescope both will increase.
  • microscope and telescope both will decrease
  • microscope will decrease but that of telescope will increase.
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The Correct Option is D

Solution and Explanation

Magnifying power of a microscope.
$ m= \bigg( \frac{L}{f_0} \bigg) \bigg(\frac{D}{f_e} \bigg)$
where $ f _o \, \, and \, \, f_c $ are the focal lengths of the objective and eyepiece respectively and L is the distance between their focal points and D is the least distance of distinct vision.
If $ f_o $ increases, then m will decrease.
Magnifying power of a telescope, $m = \frac{f_0}{f_e}$
where $ f_o \, \, and \, \, f_e $ are the focal lengths of the objective .
and eyepiece respectively.
If $ f_0 $ increases, then m will increase.
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Concepts Used:

Ray Optics and Optical Instruments

Optics, deals with the determination of behaviour and the properties of light, along with its interactions with the matter and also with the instruments that are used to detect it.

Ray optics is also known as the geometrical optics and it is a branch of science which describes light propagation.

Reflection is the change in direction of light at an interface in-between two different media so that the wave-front returns into a medium from which it was originated.

Speed of light is the rate at which the light travels in free space.

A phenomenal change in image formed when the light is passed from one medium to another which is called Refraction.

Total Internal Reflection is the reflection of light when the light ray enters into a rarer medium from a denser medium and the angle of incidence is higher than the critical angle of incidence then that light ray will be reflected back to the denser medium.

Read More: Ray Optics and Optical Instruments