A point object O is placed in front of two thin symmetrical coaxial convex lenses L 1 and L 2 with focal length 24 cm and 9 cm respectively. The distance between two lenses is 10 cm and the object is placed 6 cm away from lens L 1 as shown in the figure. The distance between the object and the image formed by the system of two lenses is _____________ cm

Step-by-step solution

For L 1 : 1 v 1 + 1 6 = 1 24 ⇒ 1 v 1 = 1 24 - 1 6 = 1 - 4 24 ⇒ 1 v 1 = - 3 24 ⇒ v 1   =   –   8   cm For L 2 : u   =   – 18   cm ⇒ 1 v + 1 18 = 1 9 ⇒ 1 v = 1 9 - 1 18 = 2 - 1 18 ⇒ 1 v = 1 18 ⇒ v   =   18   cm Distance between object and distance =   16   +   18   =   34   cm .