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Mirror Formula and Applications

The document explains the mirror formula, which relates object distance, image distance, and focal length in mirrors. It also covers linear magnification and provides several example problems involving concave and convex mirrors, including calculations for image position, size, and nature. The document serves as a guide for understanding the principles of spherical mirrors and their applications.

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10 views16 pages

Mirror Formula and Applications

The document explains the mirror formula, which relates object distance, image distance, and focal length in mirrors. It also covers linear magnification and provides several example problems involving concave and convex mirrors, including calculations for image position, size, and nature. The document serves as a guide for understanding the principles of spherical mirrors and their applications.

Uploaded by

jeevanandasgone
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Mirror Formula

Mirror Formula
The distance between the object and the pole of the mirror is called the object
distance(u).
The distance between the image and the pole of the mirror is called Image
distance(v).
The distance between the Principal focus and pole of the mirror is called Focal
Length(f).
Mirror formula relates object distance (u) and image distance (v) with focal
length (f).
Mirror Formula

1 1 1
= +
𝑓 𝑣 𝑢
Linear Magnification
The linear magnification
produced by spherical
mirrors is defined as the ℎ′ 𝑣
ratio of height of the
𝑚= =-
ℎ 𝑢
image (h’) to the height of
the object (h).
Q-1 An object 4 cm in size is placed at a distance of 25 cm
from a concave mirror of focal length 15 cm. Find the
position, nature and height of the image.
Q-2 A 5 cm tall object is placed at a distance of 30
cm from a convex mirror of focal length 15 cm. Find
the position, size and nature of the image formed.
A concave mirror produces three times magnified
real image of an object placed at 10cm in front of it.
Where is the image located?
Q-3 An arrow 2.5 cm high is placed at a distance of 25 cm
from a diverging mirror of focal length 20 cm. Find the
nature, position and the size of the image formed.
Q-3 An arrow 2.5 cm high is placed at a distance of 25 cm
from a diverging mirror of focal length 20 cm. Find the
nature, position and the size of the image formed.
Q-4 The linear magnification of a convex mirror of focal
length 15 cm is 1/3. What is the distance of the object from
the focus of the mirror?
Q-5 An object of height 1.2 m is placed before a concave
mirror of focal length 20 cm so that a real image is formed
at a distance of 60 cm from it. Find the position of the
object. What will be the height of the image formed?
Q – 6 The image formed by a convex mirror of focal length
20 cm is a quarter of the object. What is the distance of the
object from the mirror?
Q – 7 A concave mirror produces a real image 10 mm tall, of an
object 2.5 mm tall placed at 5 cm from the mirror. Calculate the
focal length of the mirror and the position of the image.
Q – 8 An erect image 3 times the size of the object is
obtained with a concave mirror of radius of curvature 36 cm.
What is the position of the object?
Q – 9 When an object is placed at a distance of 60 cm from a
convex mirror, the magnification produced is ½. Where
should the object be placed to get a magnification of 1/3?
Q – 10 A converging mirror forms a real image of height 4
cm, of an object of height 1 cm placed 20 cm away from the
mirror. Calculate the image distance and the focal length of
the mirror.

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