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

Step-by-step solution

As the beam of light is converging at point P , so it will act as a virtual object for concave lens. Objective distance, u=12 ~cm Focal length of concave lens, f=-16 ~cm Using lens formula, 1 v - 1 u = 1 f array ll & 1 v = 1 f + 1 u =- 1 16 + 1 12 = -3+4 48 = 1 48 or & v=48 ~cm Given, & v=x ~cm & x=48 ~cm array