Question

A DIVERGING MIRROR OF RADIUS OF CURVATURE40 CM FORN AN IMAGE WHICH IS HALF THE HEIGHT OF THE OBJECT.FIND THE OBHJET.find the object And Image Position

Answer 1

R=40cm
f=R/2=40/2=20cm
h=height of object
h'=height of image=h/2
m=h'/h=h/2h=1/2=-v/u
-v=2u
v=-2u
1/f=1/v+1/u
1/20=1/-2u+1/u

=-1+2/2u
1/20=1/2u1/u=1/10
u=10cm=object distance from mirror
v=-2u=-2×10=-20cm=image distance from object
-ve sign ahowas image formed on opposite side of object means virtual image is formed