Geometrical OpticsMedium

Question

A convex lens is made from glass material having refractive index of 1.4 with same radius of curvature on both sides. The ratio of its focal length and radius of curvature is

Options

A.0.5
B.2.5
C.0.8
D.1.25

Solution

Sol. [Key Concept: $\frac{1}{f} = (\mu - 1)(\frac{1}{R} - \frac{1}{- R}) = \frac{0.8}{R}$, so $f/R = 1.25$.]

$${\frac{1}{f} = (1.4 - 1)\left( \frac{1}{R} - \frac{1}{- R} \right) }{\frac{1}{f} = \frac{0.8}{R} }{\frac{f}{R} = 1.25 }$$

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