Question

An object is placed at a distance of 25 cm from the pole of a spherical mirror which forms a real inverted image on the same side of object at 37.5 cm from the pole. Calculate the focal lenghth of mirror and find nature of the mirror.

Answer 1

Given that,


Object distance,u=-25cm
Image distance=-37.5 cm
For a mirror,we know that,
1/f=1v+1/u
=1/(-37.5) +1/(-25)
f=-15cm

This will be a concave mirror
this is your answer I hope so it may be help you

Answer 2

$f=15\ cm$ is the focal length of the CONCAVE mirror.

Explanation:

Given:

• distance of object from the pole in-front of the spherical mirror, $o=25\ cm$

• distance of image from the pole in-front of the spherical mirror, $i=37.5\ cm$

We consider the object's distance always positive and the distance of image as positive when it is on the same side of the object.

Now form the equation of spherical mirrors:

$\frac{1}{f} =\frac{1}{o} +\frac{1}{i}$

$\frac{1}{f} =\frac{1}{25} +\frac{1}{37.5}$

$\frac{1}{f} =\frac{1}{15}$

$f=15\ cm$

Since the value comes out to be positive so we can conclude that the mirror is concave.

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TOPIC: spherical mirrors

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