Question

An object is placed at the distance of 30 cm from the
concave mirror of 10 cm focal length. What would be
the magnification of the mirror?
एक वस्तु को 10 cm फोकस दूरी के अवतल दर्पण से 30 cm की दूरी
पर रखा जाता है। दर्पण का आवर्धन क्या होगा?​

Answer 1

The magnification is $0.5cm$

Given-An object is placed at the distance of $30cm$. $10cm$ focal length

Find the magnification of the mirror

A concave mirror has a reflective surface that is curved inward and away from the light source. Concave mirrors reflect light inward to one focal point. Unlike convex mirrors, the image formed by a concave mirror shows different image types depending on the distance between the object and the mirror.

Now $u=-30cm, f=-10cm$

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

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

$=\frac{-1}{10}+\frac{1}{30}$

$=\frac{-3+1}{30}=\frac{-2}{30}=\frac{-1}{15}$

$v=-15cm$

$m=\frac{-v}{u}=\frac{+15}{-30}=\frac{-1}{2}=-0.5cm$

Hence, the magnification is $0.5cm$

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Answer 2

Answer:

The magnification is 0.5cm

Explanation:

Given-In is placed at a distance of 30 cm, focal length 10 cm

Look for a magnification in the mirror

The concave mirror has a reflective surface that curves in and out of the light source. Concave mirrors reflect light from the inside into the focus. Unlike convex mirrors, an image formed by a concave mirror displays different types of images depending on the distance between the object and the mirror.

Now

U=-30 cm, f=-10 cm

1/v+1/u=1/f

1/v=1/f-1/u

=-1/10+1/30

=-1/15

V=-15cm

m = -v/u

=+15/-30

=-1/2

=-0.5cm

Hence, the magnification is 0.5cm

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