Figure given below shows a beam of light converging at point `P.` When a convex lens of focal length `16cm` is introduced in the path of the beam at a place `O` shown by dotted line such that `OP` becomes the axis of the lens, the beam converges at a distance `x` from the lens. The value `x` will be equal to

Options

A. `12 cm`
B. `24 cm`
C. `36 cm`
D. `48 cm`

Answer

D

Explanation

By using lens formula
`(1)/(-16)=(1)/(v)-(1)/((+12))implies(1)/(v)=(1)/(12)-(1)/(16)=(4-3)/(48)`
`implies v=48cm`