A cube of side `2m` is placed in front of a concave mirrorr of focal length `1m` with its face `A` at a distance of `3m` and face `B` at a distance of `5m` form the mirrorr, The distance between the images of face `A` and `B` and height of images of `A` and `B` are respectively.

Options

A. `1m,05m, 0.25`
B. `0.5m,1m,025m`
C. `0.5m,0.25m,1m`
D. `0.25m,1m,0.5m`

Answer

D

Explanation

For P:
`(1)/(v)+(1)/(-3)=(1)/(-1)implies(1)/(v)=-1+(1)/(3)=-(2)/(3)`
`v=-(3)/(2)m`
`(I_1)/(O)=-(v)/(u)implies(I_1)/(2)=((-3)/(2))/(-3)`
`I_1=-(2)/(2)=-1m`
For Q:
`(1)/(v)+(1)/(-5)=(1)/(-1)implies(1)/(v)=-1+(1)/(5)=-(4)/(5)`
`v=-(5)/(4)m`
`(I_2)/(O)=-(v)/(u)implies(I_2)/(-2)=-((-5)/(4))/(-5)`
`I_2=(1)/(2)m=0.50m`
Distance between images of P and Q `=(3)/(2)-(5)/(4)=0.25m`
Height of `P=1`m height of `Q=0.5m`