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Magnification Due to Spherical Lenses

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Magnification Due to Spherical Lenses

Magnification is the ratio of the height of the image (h2​) to the height of the object (h1 ). It is used to determine the size and nature of the image formed by convex and concave lenses.

`"Magnification" = "Height of the Image"/"Height of the object"`

 \[\mathrm{i.e.~M}=\frac{\mathrm{h}_2}{\mathrm{h}_1}\]

Formula in Terms of Distances: Magnification is also the ratio of the image distance (v) to the object distance (u).

`"Magnification" = "Distance of the Image"/"Distance of the object"`

\[\mathrm{i.e.~M}=\frac{\mathrm{v}}{\mathrm{u}}\]

Interpretation of Magnification Value:

  • M>1 → Enlarged image
  • M<1 → Diminished image
  • M=1 → Same size image

Sign Convention:

  • M>0 → Image is upright (virtual).
  • M<0 → Image is inverted (real).
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Related QuestionsVIEW ALL [59]

When an object is placed at a distance of 50 cm from a concave spherical mirror, the magnification produced is, `-1/2`. Where should the object be placed to get a magnification of, `-1/5`? 

A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror.

(a) Write the type of mirror.

(b) Find the distance of the image from the object.

(c) What is the focal length of the mirror?

(d) Draw the ray diagram to show the image formation in this case.

Write an expression for magnification for a lens, explaining the meaning of the symbols used.

The lens of the eye is flattened when looking at nearby objects.

Linear magnification (m) produced by a rear view mirror fitted in vehicles:

(a) is equal to one
(b) is less than one
(c) is more than one
(d) can be more less than one depending on the position of object

Ravi kept a book at a distance of 10 cm from the eyes of his friend Hari. Hari is not able to read anything written in the book. Give reasons for this?

To determine focal length of a concave mirror a student obtains the image of a well lit distant object on a screen. To determine the focal length of the given concave mirror he needs to measure the distance between:

(A) mirror and the object

(B) mirror and the screen

(C) screen and the object

(D) screen and the object and also mirror and the screen

Solve the following example.

An object kept 60 cm from a lens gives a virtual image 20 cm in front of the lens. What is the focal length of the lens? Is it a converging lens or diverging lens?

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