The radii of curvature of the two surfaces of a concave lens are 20 cm each. The refractive index of the material of the lens is 1.5. The power of the lens would be- |
-5 D -1 D 2.5 D -0.5 D |
-5 D |
The correct answer is Option (1) → -5 D Given: Radii of curvature = $R = 20\text{ cm} = 0.20\text{ m}$ Refractive index = $\mu = 1.5$ Lensmaker formula (power): $P = (\mu-1)\left(\frac{1}{R_1}-\frac{1}{R_2}\right)$ For a symmetric biconcave lens with equal radii, $P = -\frac{2(\mu-1)}{R}$ Substitute values: $P = -\frac{2(1.5-1)}{0.20} = -\frac{2\times 0.5}{0.20} = -\frac{1}{0.20} = -5\ \text{D}$ The power of the lens is $-5\ \text{dioptre}$. |