Question

a 5cm tall object is placed at a distance of 30 cm from a concabve mirror of focal length 15 cm. find the positions,size and nature of the image formed.

Answer 1

height of object , h = 5cm

object distance from the convex mirror, u = -30 cm

focal length of convex mirror, f = +15cm

now, use formula 1/v + 1/u = 1/f

or, 1/v + 1/-30 = 1/15

or, 1/v = 1/15 + 1/30 = 3/30

or, v = +30cm

hence, position of image is 30cm right side from the pole of convex mirror.

magnification = -v/u

height of image/height of object = - 30/(-30)

height of image/5cm = 1

height of image = 5cm

hence, size of image is equal to size of object.