Refraction (Grade 11 NSC Matric Physical Sciences): Revision Notes
Refraction
What is refraction?
Refraction is the bending of light that occurs when light travels from one medium to another. This happens because light changes speed as it moves between different materials, even though its frequency stays the same.
When a light ray hits the boundary between two media at an angle that is not perpendicular to the surface, the light will change direction and appear to bend. This bending effect is what we call refraction.
You can easily observe refraction by looking at a straw placed in a glass of water. The straw appears bent or broken at the water surface because light rays from the straw change direction when they pass from water into air, causing your eyes to see the straw in a different position than it actually is.
Refractive index
The refractive index is a number that tells us how much light slows down when it travels through a particular material. It is represented by the symbol n and is calculated using this formula:
Where:
- = refractive index (no units)
- = speed of light in a vacuum ( m⋅s⁻¹)
- = speed of light in the material (m⋅s⁻¹)
Since light travels slower in any material compared to a vacuum, all refractive index values are greater than 1.
This table shows that different materials have different refractive indices. For example, water has a refractive index of 1.333, meaning light travels about 1.33 times slower in water than in a vacuum.
Worked Example: Calculating Light Speed in a Material
Question: Calculate the speed of light through glycerine which has a refractive index of 1.4729.
Solution:
Step 1: Identify what is given and what is required
- Given: refractive index of glycerine,
- Required: speed of light in glycerine,
Step 2: Choose the appropriate formula We use the refractive index formula:
Step 3: Rearrange and calculate Rearranging to solve for :
Therefore, light travels at m⋅s⁻¹ through glycerine.
Optical density
Optical density is a measure of how well a medium can refract (bend) light. Materials with higher optical density will bend light more than materials with lower optical density.
There is a direct relationship between optical density and refractive index - materials with higher refractive indices also have higher optical densities. This means light travels slower through materials with high optical density and faster through materials with low optical density.
Ray diagrams and key terms
When drawing ray diagrams to show refraction, we need to understand several important terms:
Normal: The normal is a straight line drawn perpendicular to the surface at the point where the light ray hits the boundary between two media.
Angle of incidence: This is the angle between the incident (incoming) light ray and the normal.
Angle of refraction: This is the angle between the refracted (bent) light ray and the normal.
This diagram shows light travelling from water () into air (). Notice how the light ray bends away from the normal as it moves from the denser medium (water) to the less dense medium (air).
This second diagram shows the opposite situation - light travelling from air into water. Here, the light ray bends towards the normal as it moves from the less dense medium (air) into the denser medium (water).
Key Bending Rules:
- When light moves from a medium with a higher refractive index to one with a lower refractive index, it bends away from the normal.
- When light moves from a medium with a lower refractive index to one with a higher refractive index, it bends towards the normal.
Practical investigation of refraction
Understanding refraction through hands-on investigation helps you see how light behaves in real situations.
Aim: To investigate how light refracts when passing from air into glass and back into air.
Equipment needed:
- Ray box (light source)
- Rectangular glass block
- Plain paper
- Pencil
- Ruler
- Protractor
Method:
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Place the glass block on paper and draw around it to mark its outline.
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Turn on the ray box and direct the light ray towards one side of the glass block at an angle.
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Use your pencil to mark dots along the incident ray before it hits the glass, and mark where the ray enters the glass block.
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Mark where the light ray exits the glass block and continue along the emerging ray.
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Remove the glass block and use your ruler to connect the dots, showing the complete path of the light ray.
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Draw normals at both surfaces where light enters and exits the glass block.
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Use your protractor to measure the angles of incidence and refraction at both surfaces.
Key observations:
- Light bends towards the normal when entering the glass (moving from less dense to more dense medium)
- Light bends away from the normal when exiting the glass (moving from more dense to less dense medium)
- The emergent ray is parallel to the incident ray but displaced sideways
This investigation demonstrates the fundamental principles of refraction and allows you to measure how much light bends when passing between different media.
Key Points to Remember:
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Refraction occurs when light changes speed as it moves from one medium to another, causing the light to bend if it hits the boundary at an angle.
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Refractive index tells us how much slower light travels in a material compared to a vacuum - higher values mean slower light and more bending.
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Light bends towards the normal when moving from a less dense to a more dense medium, and bends away from the normal when moving from a more dense to a less dense medium.
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The frequency of light never changes during refraction, only the speed and direction change.
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Ray diagrams are essential tools for understanding and predicting how light will behave when it encounters boundaries between different media.