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A concave mirrorr of focal length f(1) i...

A concave mirrorr of focal length `f_(1)` is placed at a distance of `d` from a convex lens of focal length `f_(2)`. A beam of light coming from infinity and falling on this convex lens-concave mirrorr combination returns to infinity. The distance `d` must equal.

A

`f_(1) +f_(2)`

B

`-f_(1)+f_(2)`

C

`2f_(1)+f_(2)`

D

`-2f_(1)+f_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C

The parallel beam of light is focused at the focus F of the convex lens. If F coincides with the centre of curvature C of the concave mirror, then the rays reflected from the mirror will again come to C and the rays from F, will become parallel after passing through the lens.
`therefore ` Distance `d= f_(2)+R=f_(2)+2f_(1)`
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