Question

An object is placed at a distance of 30 cm in front of a convex mirror of focal length 15 cm .find the nature and position of image ?

Answer 1

The image is real , inverted and of same size as that of object
Image formed at 30cm the same side of object

Explanation:

u = -30 cm
f = -15 cm

`1/f = 1/u + 1/v`

=> `1/v = 1/f - 1/u`

=> `1/v = 1/-15 - 1/-30` = `-1/15 + 1/30` = `(-2+1)/30`

=> `1/v = -1/30`
=> `v = -30 cm`.

`m = -v/u = -(-30)/-30 = -1`

therefore ,
The image is real , inverted and of same size as that of object