Question

A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure.

Distance of the image of an object 'O', is :

(C is the center of curvature of the spherical surface and R is the radius of curvature)

(1) 0.24 m right to the spherical surface

(2) 0.4 m left to the spherical surface

(3) 0.24 m left to the spherical surface

(4) 0.4 m right to the spherical surface

Answer 1

Correct option is : (2) 0.4 m left to the spherical surface

\(\frac{\mu_2}{v} - \frac{\mu_1}{u} = \frac{\mu_2-\mu_1}{R}\) 

\(\frac{1.5}{v} - \frac{1}{(-0.2)} = \frac{1.5-1}{0.4}\)

\(\frac{1.5}{v} = \frac{0.5}{0.4} - \frac{1}{0.2}\)

\(\frac{1.5}{v} = -\frac{1.5}{0.4}\)

v = –0.4 m