A point is placed in front of thick plane mirror as shown in figure. Find the location of final image w.r.t. object.

Options

A. `15//2cm`
B. 15cm
C. `40//3cm`
D. `80//3cm`

Answer

d.

Explanation

Mirror can be shifted to new position `C^(')D^(')` . Distances are shown in figure.
Image will be at equal distance from the mirror `C^(')C^(')` as the object is.
Image distance from `C^(')D^(')` is
`10+(5)/(3//2)=10+(10)/(3)=(40)/(3)cm`
Separation between object and image is `(80)/(3)` cm.