Linear Magnification (10th-Physics-Lesson-14.4)

Linear Magnification – The ratio of the height of the image to that of the object is called as linear magnification or simply magnification and is denoted by the letter m. thus

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Linear Magnification
Linear Magnification

Example 14.1:

An object is placed at a distance of 30 cm from a concave mirror. Find the nature and position of the image if focal length of the mirror is 5 cm.

Solution: we have

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Position of image:The image is in front of the concave mirror at a distance of 6 cm from the mirror.

Linear Magnification
Linear Magnification

Nature of image: Since q is positive, therefore, image is real.

Example 14.2: how far from a concave mirror of focal length 20 cm would you place an abject to get an image three times enlarged?

Solution: there are two possible solutions of this question.

(i) When image is real

F = 20 cm                  p = ?

As magnification is three times thus

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Thus object should be placed at a distance of 26.7 cm from concave mirror.

(ii) When the image is virtual

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The image is erect and behind the mirror.

The dentist mirror
The dentist mirror shows a big and clear view of the tooth.