Question

A point light source is kept in front of a convex mirrorr at a distance of 40 cm the focal length of the mirror is 40 cm . Find the position of image

Answer 1

Answer::

1/f=1/v+1/u

1/v=1/f-1/u

1/v=1/40-1/-40

1/v=1/40+1/40

1/v=2/40

1/v=20cm

Answer 2

The image is located at a distance of 20 cm from the mirror.

Explanation:

Given that,

Object distance from a convex mirror, u = -40 cm

Focal length of the mirror, f = +40 cm

We need to find the position of the image. It can be calculated using mirror's formula as :

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

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

$\dfrac{1}{v}=\dfrac{1}{40}-\dfrac{1}{(-40)}$

v = +20 cm

So, the image is located at a distance of 20 cm from the mirror. Hence, this is the required solution.

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Mirror's formula

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