A concave mirror produces three times magnified (enlarged) real image of object placed at 10 cm in front of it. Where is the image located?

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#### Solution

Magnification produced by a spherical mirror is given by the relation,

`m=`

`m=h_1/h_0=-u/v`

Let the height of the object, `h_0=h`

Then, height of the image, `h_1=-3h`(image formed is real)

`-3h/h=-v/u`

`v/u=3`

Object distance, *u*= – 10 cm*v *= 3 × ( – 10) = – 30 cm

Here, the negative sign indicates that an inverted image is formed at a distance of

30 cm in front of the given concave mirror.

Concept: Concave Mirror

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