Geometrical Optics: Image of Object 2m Away From Convex Mirror

[jst81161]

Homework Statement

An object is located 2 m away from a convex mirror with radius of curvature of 1 m.
(a) Draw the ray trace diagram (observe scale!) and use that to deduce where the image
occurs
(b) What is the distance between the image and the mirror?
(c) Strike out that which is incorrect. The image is real/virtual, upright/inverted

Homework Equations

f=1/2*R
1/do + 1/di= 1/f

The Attempt at a Solution

 

[pcdagr8]

If that's the way you attempted the question you are not going to get anywhere for sure!

 

[m2003]

(a) In a convex mirror, rays of light coming from an object parallel to the principal axis will reflect off the mirror and converge at a point known as the focal point. Using the equation 1/do + 1/di= 1/f, where do is the object distance, di is the image distance, and f is the focal length, we can calculate the image distance to be -2 m. This means that the image will occur 2 m behind the mirror, as seen in the ray trace diagram below:

IMAGE NOT INCLUDED

(b) The distance between the image and the mirror is 2 m, as calculated in part (a).

(c) The image is virtual and upright.