NEETPhysicsRay Optics
A plano-convex lens made of a material with a refractive index of 1.5 has a power of +5 D . The radius of curvature of its curved surface is:
Options
- A20 cm
- B10 cm
- C40 cm
- D0.1 cm
Correct answer
B. 10 cm
Step-by-step solution
The power of the lens is P = +5 D . The focal length f in meters is given by f = 1 P = 1 5 m = 20 cm . For a plano-convex lens, the radius of curvature of the plane surface is R₂ = , and let the curved surface be R₁ = R . Using the Lens Maker's formula: 1 f = ( - 1) ( 1 R₁ - 1 R₂ ) Substitute the values: 1 20 = (1.5 - 1) ( 1 R - 1 ) 1 20 = 0.5 1 R R = 20 0.5 = 10 cm . Answer: 10 cm