Refraction at a Spherical Surface

Q. A transparent cylinder has its right half polished so as to act as a mirror. A paraxial light ray is incident from left, that is parallel to principal axis, exits parallel to the incident ray as shown. The refractive index of the material of the cylinder is:

1. 1.2
2. 1.5
3. 1.8
4. 2

Q. 34.A bar of iron is 10 cmat 20C.At 19C it will be (alpha Fe=11×10-6/^° C) 1) 11×10-6 cm longer 2)11×10-6 cm shorter 3)11×10-5 cm shorter 4)11×10-5 cm longer

Q. In the figure shown, a point object $O$ is placed in air. A spherical boundary of radius of curvature $1.0m$ separates two media. $AB$ is the principal axis. The refractive index above $AB$ is $1.6$ and below $AB$ is $\mathrm{2.0.}$ The separation between the images formed due to refraction at the spherical surface is

1. $12m$
2. $20m$
3. $14m$
4. $10m$

Q. An air bubble in a glass sphere having 4 cm diameter appears 1 cm from surface nearest to eye when looked along diameter. If ${\mu }_{g,a}=1.5$, the distance of bubble from refracting surface is

1. 1.2 cm
2. 3.2 cm
3. 2.8 cm
4. 1.6 cm

Q.

One end of a cylindrical glass rod shown in figure ends in a hemispherical surface of radius R = 20 mm.
-Let the same rod be immersed in water of index 1.33, the other quantities having the same values as before. Find the image distance.

1. 120 mm

2. -120 mm

3. 180 mm

4. -180 mm

Q.

One end of a cylindrical glass rod ends in a hemispherical surface of radius R = 20 mm.
- Find the image distance of a point object on the axis of the rod, 80 mm to the left of the vertex. The rod is in air.

1. 120 mm

2. -120 mm

3. -80 mm

4. 60 mm

Q. For refraction at a curved surface; the u.v relationship is:
$\frac{{\mu }_2}{v}-\frac{{\mu }_1}{u}=\frac{{\mu }_2-{\mu }_1}{R}$

1. ${\mu }_2$: Refractive index of the medium of refracted ray
2. ${\mu }_1$: Refractive index of the medium of incident ray
3. R: Radius of curvature of the refractive surface.
4. R is always positive

Q. A ray of light falls on a transparent sphere with centre at C as shown in figure. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is:

1. $\sqrt{2}$
2. $\sqrt{3}$
3. $\frac{3}{2}$
4. $\frac{1}{2}$

Q.

An air bubble in sphere having 4 cm diameter appears 1 cm from surface nearest to eye when looked along diameter. If _am_g = 1.5, the distance of bubble from refracting surface is

[CPMT 2002]

1. 1.2 cm

2. 3.2 cm

3. 2.8 cm

4. 1.6 cm

Q. A ray of light falls on the surface of a spherical glass paperweight making an angle $\alpha$ with the normal and is refracted in the medium at an angle $\beta$. The angle of deviation of the emergent ray from the direction of the incident ray

1. $(\alpha -\beta )$
2. $2(\alpha -\beta )$
3. $(\alpha -\beta )/2$
4. $(\beta -\alpha )$

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