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Question

Question: For a spherical surface of radius of curvatures R, separating two media of refractive index m<sub>1<...

For a spherical surface of radius of curvatures R, separating two media of refractive index m1 and m2, the two principal focal lengths are f1 and f2 respectively. Which relation is correct –

A

f1 = f2

B

f2/m2 = f1/ m1

C

f2/m2 = –f1/ m1

D

–f2/m1 = f1/ m2

Answer

f2/m2 = –f1/ m1

Explanation

Solution

The surface has two principal focus given by

f1 = Rμ1\frac { - \mathrm { R } } { \mu - 1 }, f2 =

f2 = –mf1

Ž f2 = μ2μ1- \frac { \mu _ { 2 } } { \mu _ { 1 } } f1