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

u = 12 cm
f = - 16 cm
`(1)/(f) = (1)/(v) - (1)/(u)`
`rArr " " - (1)/(16) = (1)/(v) - (1)/(12)`
`rArr v = 48 ` cm.