KCET2013PhysicsRay Optics
Radii of curvature of a converging lens are in the ratio 1: 2 . Its focal length is 6 ~cm and refractive index is 1.5 . Then its radii of curvature are ......... respectively.
Options
- A9 ~cm and 18 ~cm
- B6 ~cm and 12 ~cm
- C3 ~cm and 6 ~cm
- D4.5 ~cm and 9 ~cm
Correct answer
D. 4.5 ~cm and 9 ~cm
Step-by-step solution
Given, R₁ R₂ = 1 2 , f=6 ~cm and =1.5 Let R₁=R and R₂=2 R We know the focal length of converging lens By using relation 1 f =( -1) [ 1 R₁ + 1 R₂ ] Substituting all the values, we get gathered R=4.5 ~cm R₁=4.5 ~cm and R₂=2 4.5=9 ~cm gathered