If the optic axis of convex and concave lenses are separated by a distance `5 mm` as shown in the figure. Find the coordinate of the final image formed by the combination if parallel beam of light is incident on lens. Origin is at the optical centre of convex lens

Options

A. `(25 cm,0.5cm)`
B. `(25 cm,0.25 cm)`
C. `(25 cm,-0.5 cm)`
D. `(25 cm,-2.5 cm)`

Answer

B

Explanation

For concave lens,

`1/v=1/(-10)=-1/10 rArr v=-5 cm`
`m=v/u=((-5 cm))/((-10 cm))=1/2`
`X_(I_(2))=20+5=25 cm`
`Y_(I_(2))=(5 mm)(1/2)=2.5 mm`
`=0.25 cm`