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Solved problems for the chapter:

Refractive Index and Critical Angle

View the theory »

Reflection and Refraction of Light

1. Light ray and light beam

2. Law of refraction

2.1. Reflection of light

2.2. Change in wavelength

2.3. Transition of light from one substance to another

3. Total internal reflection of light

4. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:refractive_index_and_critical_angle/5126/

Example 1.

A light ray falls on a transparent thick plate with an unknown refractive index at an angle of with respect to the vertical. When exiting the plate, the ray is displaced by relative to the incident ray. What is the refractive index of the plate?

Example 2.

Light passes from water to air. Draw a graph of the angle of refraction against the angle of incidence. calculate the critical angle if the refractive index of water is 1.33.

Light passes from glass to water. What is the critical angle in the glass? The refractive index of glass is 1.51 and that of water is 1.33.

Light travels from air into glass. What is the relationship between the refractive index of the glass, the angle of incidence and the angle of refraction ?

The diagram shows a ray of light entering a glass block.

Which calculation gives the refractive index of the glass?

Light in transparent plastic meets a boundary with air. Light is transmitted into the air only if the angle marked in the diagram is greater than .

What is the refractive index of the plastic?

0.59
0.81
1.2
1.7

The speed of light in air is . The critical angle for light in a transparent plastic material placed in air is . What is the speed of light in the plastic material?

The diagram shows a ray of light in air incident on a glass block. Some of the light is refracted and some of the light is reflected. Two angles, p and q, are marked on the diagram.

Which row gives the angle of incidence and states whether total internal reflection occurs?

	angle of incidence	total internal reflection
A	p	no
B	p	yes
C	q	no
D	q	yes

A ray of light travels from air into a material, as shown.

What is the refractive index of the material?

10.

The diagram shows how a ray of light refracts when going from air to Perspex.

The critical angle of Perspex is . Which expression is correct?

11.

The diagram shows a ray of light in glass incident on the surface between the glass and air.

What happens if the angle of incidence is made larger than the critical angle for the glass?

The angle of refraction becomes equal to .
There is a refracted ray and a ray reflected inside the glass.
There is a refracted ray only.
There is only a ray reflected inside the glass.

12.

A ray of light travels from air into a glass block.

	in air	in glass
speed of ray
wavelength of ray
frequency of ray

Three suggestions as to how the refractive index of glass may be calculated are listed.

Which suggestions are correct?

1, 2 and 3
1 and 2 only
1 and 3 only
2 and 3 only

13.

The diagram shows a narrow beam of light incident on a glass-air boundary. Some of the light emerges along the surface of the glass and some is reflected back into the glass.

Which row is correct?

	this is an example of total internal reflection	angle is the critical angle
A	no	yes
B	no	no
C	yes	no
D	yes	yes

14.

Two rays with an angle of incidence of pass into dilute and concentrated sugar-water solutions. The refractions are shown.

Which row is correct?

	refractive index as concentration increases	speed through solution as concentration increases
A	decreases	decreases
B	decreases	increases
C	increases	decreases
D	increases	increases