Figure given below shows a beam of light converging at point `P.` When a concave 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

P: virtual object `I_1`: real image
`(1)/(v)-(1)/(u)=(1)/(f)`
`(1)/(x)-(1)/(12)=(1)/(16)implies(1)/(x)=(1)/(12)-(1)/(16)=(1)/(48)`
`x=48cm`