Question

An object is placed at 50 cm from a convex spherical mirror with a radius of curvature of 200 cm. What are the properties of the image? O Virtual, m = 0.5 O Real, m = 0.67 Virtual, m = 0.67 Real, m = -1.0 Real, m = 1.0

Answer 1

Write the mirror equation.

1/f=(1/u)+(1/v)      ................ (1)

Focal length (f) = R/2               (R=radius)

                         = 200/2

                         = 100cm    

object distance (u) = -50cm                (-ve by sighn convention)

v = image distance

Use equation (1).

1/f=(1/u)+(1/v)

1/100=-1/50+1/v

1/v =1/50+(1/100)

     = 0.03

v = 33.33 cm

magnification m =-v/u

                          =-33.33/(-50)

                          =0.67

The convex mirror always form virtual image

Thus, Third option is correct.

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