A plane mirror `(M_1)` and a concave mirror `(M_2)` of focal length 10 cm are arranged as shown in figure. An object is kept at origin. Answers the following questions. (consider image formed by single reflection in all cases).

If concave mirror is replaced by convex mirror of same focal length then coordinates of image formed by `(M_2)` will be

Options

A. `(10 cm, 12 cm)`
B. `(10 cm, 22 cm)`
C. `(10 cm, 8 cm)`
D. None of these

Answer

D

Explanation

`1/v+1/(-20)=1/(+10)`
`:. V=+(20/3)cm`
`m=-(v/u)=-((+20//3))/((-20))=+(1/3)`
`:. I=10(1/3)=10/3 cm`
`x=10-(10/3)=(20/3)cm`
and `y=20+(20/3)=(80/3) cm`.