Question

A convex mirror of focal length 50 cm produces an image of height 6 cm at a distance of 25 cm . Find the height and the distance of the object from the mirror.

Answer 1

Hi...


Use the mirror equation:

1/di + 1/do = 1/f
where di = +25 cm and f = +50 cm.

Substitute and solve for do.

1/do + 1/(25 cm) = 1/(50 cm)
1/do = 1/(50 cm) - 1/(25 cm) = -1/(50 cm)

do = - 50 cm..


Magnification = - v/u
Thus M= -25/-50=0.5..

M=h'/h
h'=M×h
h'=0.5 × 6= 3cm....


Hope this helps u!