Question

find the focal length of spherical mirror which forms a 1/3 times magnified virtual image of an object placed 18cm in front of it

Answer 1

Hi....here is your answer

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Answer 2

The focal length of the spherical mirror is 9 cm.

Explanation:

It is given that,

Magnification of the spherical mirror, $m=\dfrac{1}{3}$

Object distance, u = -18 cm

The magnification of spherical mirror is given by :

$m=\dfrac{-v}{u}$

$\dfrac{1}{3}=\dfrac{-v}{-18}$

v = 6 cm

Now using mirrors formula to find the focal length of the mirror as :

$\dfrac{1}{f}=\dfrac{1}{v}+\dfrac{1}{u}$

$\dfrac{1}{f}=\dfrac{1}{6}+\dfrac{1}{(-18)}$

f = 9 cm

So, the focal length of the spherical mirror is 9 cm. Hence, this is the required solution.

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