Question

11 : 2 : Please help me answer this question:

Item 2 You are standing 2.6m from a convex security mirror in a store. You estimate the height of your image to be half of your actual height. Part A Estimate the radius of curvature of the mirror. Express your answer using two significant figures.

Answer 1

Object distance u = -2.6m
Let image distance = v
Height of image = half of height of object
so magnification = 0.5
Now magnification = -v/u
So -v/u = 0.5
v= -0.5u

Using mirror formula,
1/f=1/v + 1/u = 1/(-0.5u) + 1/u = -1/u
So f= -u = 2.6m
R=2f =2 x 2.6 = 5.2m