Two media of R.I. µ = 1 and µ = 3/2 are separated by a spherical surface of radius 50 cm.

Question

Two media of \(R.I. \mu = 1 \ \text{and}\ \mu = 3/2\) are separated by a spherical surface of radius 50 cm. Image of object O is formed at a distance of 200 cm form surface as shown in figure. Find x (in meter):

Answer 1

Answer is : 4 m

\(\frac{n_2}{v} - \frac{n_1}{u} = \frac{n_2 - n_1}{R}\)

\(\frac{3}{2\times 200} - \frac{1}{-x} = \frac{\frac{3}{2}-1}{+50}\)

\(\frac{3}{400}+ \frac{1}{x} = \frac{1}{100}\)

\(\frac{1}{x} = \frac{4}{400} - \frac{3}{400} = \frac{1}{400}\)

\(x = 400\ cm = 4\ m\)