Which one of the following statements is not correct?
The radius of curvature of a concave mirror is twice its focal length
Power of a convex lens is negative and that of a concave lens is positive
The radius of curvature of a plane mirror is infinity
When a ray of light passes from an optically denser medium to an optically rarer medium, the angle of refraction is greater than the corresponding angle of incidence
Answer is Wrong!
Answer is Right!
This question was previously asked in
UPSC NDA-2 β 2015
The correct answer is B. The statement about the power of convex and concave lenses is incorrect.
β Statement A is correct. For a spherical mirror, the radius of curvature (R) is twice the focal length (f), i.e., R = 2f.
β Statement B is incorrect. The power of a lens (P = 1/f) is positive for a converging lens (convex lens) because its focal length (f) is positive. The power of a diverging lens (concave lens) is negative because its focal length (f) is negative.
β Statement C is correct. A plane mirror can be considered as a part of a spherical mirror with an infinite radius of curvature. Consequently, its focal length (f = R/2) is also infinite.
β Statement D is correct. According to Snellβs Law, when light travels from a denser medium (higher refractive index nβ) to a rarer medium (lower refractive index nβ), it bends away from the normal. This means the angle of refraction (ΞΈβ) is greater than the angle of incidence (ΞΈβ), as nβ sin ΞΈβ = nβ sin ΞΈβ and nβ > nβ, implies sin ΞΈβ > sin ΞΈβ, leading to ΞΈβ > ΞΈβ.