Mirror Formula


 
 
Concept Explanation
 

Mirror Formula

The Mirror Equation:

A relationship between the distance of the object from the pole (u), distance of the image from the pole (v) and the focal length (f) of the mirror is called the mirror formula.

Relation Between u, v, f:

For any spherical mirror of small aperture, and for any position of the object, the three quantities u, v and f satisfy the simple algebraic relation given below.

Mirror Equation large frac{1}{v}+frac{1}{u}=frac{1}{f}

Remember that u, v, f can be positive or negative depending on the geometry of the situation.

Illustration: An object is placed at a distance of 30 cm from a concave mirror of focal length 20 cm. Where will the image be formed?

Solution:It is given that we have a concave mirror, so the focal length will be negative.

The distance of the object is always negative.

We have, u = -30 cm and f = -20 cm.

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Sample Questions
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Question : 1

Which of the following are correct ?

(a) In a spherical mirror the relation between quantities u,v,and f is called mirror formula .

(b) In a spherical mirror ,the distance of the object from its pole is called the object distance (u) .

Right Option : C
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Question : 2

Which of the following are correct ?

(a) In a spherical mirror, the distance of the object from its pole is called the object distance .

(b) The distance of the principal focus from the pole is called focal length .

(c) In case of spherical mirror the relation between quantities u, v, f is called lens formula .

Right Option : A
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Explanation
Question : 3

A relationship between the distance of the object from the pole (u), distance of the image from the pole (v) and the focal length (f) of the mirror is called the ____________________ .

Right Option : B
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Explanation
 
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