Refraction through Multiple Spherical Surfaces

Q.

A parallel beam of light travelling in water (refrative index = $\frac{4}{3}$) is refracted by a spherical air bubble of radius 2 mm situated in water. Assuming the light rays to be paraxial, locate the position of the final image.

1. -5 mm

2. -6 mm

3. 5 mm

4. 6 mm

Q. Refraction takes place at a convex spherical boundary separating air-glass medium. For the image to be real, the object distance $({\mu }_g=\frac{3}{2})$

1. Should be greater than two times the radius of curvature of the refracting surface
2. Should be greater than six times the radius of curvature of the refracting surface
3. Should be greater than the radius of curvature of the refracting surface
4. Is independent of the radius of curvature of the refracting surface

Q. A point object is placed at the center of a glass sphere of radius 6 cm and refractive index 1.5. The distance of the virtual image from the surface of the sphere is

1. 2 cm
2. 4 cm
3. 6 cm
4. 12 cm

Q. A crystal ball is $20cm$ in diameter with $\text{R. I}.=1.5$. If a gypsy lady is $1.2m$ from the ball, where is the image of the gypsy as seen from the other side?

1. $6.9cm$ from the crystal ball
2. $7.9cm$ from the crystal ball
3. $8.9cm$ from the crystal ball
4. None of these