Magnification of Lenses

Concept Explanation

Magnification of Lenses

Magnification

The image formed by a curved lens can be bigger, smaller or of the same size as of the object . In case of plane mirror it is of the same size as that of the object i.e. magnification is unity.

Magnification of Lens:

If a thin object of linear size $large h_{o}$ situated vertically on the axis of the lens at a distance u from the optical center and its image of size $large h_{i}$ is formed at a distance v then magnification is defined as the ratio of size of image and the size of the object.

$large Magnification;(m)=frac{h_{i}}{h_{o}}$

Magnification can also be related to the distance of the object and the image with respect to the optical centre of the lens. Let v denote the distance of the image from the optical centre of the lens and u denote the distance of the object from the optical centre of the lens , then

$large Magnification;(m)=frac{v}{u}.$

On combining both the formulas, we get

$large Magnification;(m)=frac{h_{i}}{h_{o}}=frac{v}{u}.$

Note that m can be either positive or negative, depending on the nature of the image. If m is positive, $large h_{o}$ and $large h_{i}$ have the same sign. This means that the image is formed on the same side of the principal axis as the object. In other words, the image is erect. If m is negative, the image is inverted.

Magnitude of magnification of a mirror gives information about the size of the image relative to the object.

Magnification	Size of Image $large (h_{i})$
m = 1	$large h_{i}=h_{o}$
m < 1	$large h_{i}<h_{o}$
m > 1	$large h_{i}>h_{o}$

Where, $large h_{o}$ = height of object

$large h_{i}$ = height of image.

Sign of magnification by mirror or lens gives information about nature of the image produced.

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Sample Questions

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Question : 1

In the formula to calculate magnification of lenses v denote the distance of _______________from the optical centre of the lens .
A. The image	B. The object	C. Both (a) and (b) is correct .	D. None of these .
Right Option : A
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Question : 2

Which of the following are correct ? (a) The magnification is defined as the ratio of size of image and the size of the object. (b) The u denote the distance of the object from the optical centre of the lens . (c) If magnification is negative, the image is inverted.
A. Only (a) and (b) is correct .	B. Only (b) and (c) is correct .	C. Only (a) and (c) is correct	D. All of these .
Right Option : D
View Explanation

Question : 3

Which of the following are correct ? (a) The image formed by a curved lens can be bigger, smaller or of the same size as of the object . (b) Magnification is defined as the ratio of size of image and the size of the object.
A. Only (a) is correct .	B. Only (b) is correct .	C. Both (a) and (b) is correct .	D. None of these .
Right Option : C
View Explanation

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Magnification of Lenses

Magnification of Lenses

Magnification

Magnification of Lens:

Students / Parents Reviews [10]

Om Umang

Manish Kumar

Ayan Ghosh

Hiya Gupta

Barkha Arora

Archit Segal

Yatharthi Sharma

Cheshta

Aman Kumar Shrivastava

Eshan Arora