Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Dispersion: The splitting of white light into its constituent seven colours (VIBGYOR) when it passes through a glass prism. This occurs because different colours of light travel at different speeds in glass, causing them to bend by different amounts. Violet light bends the most, while Red light bends the least ().
Primary Colours of Light: Red, Green, and Blue (RGB). These are the three colours that can be mixed to create white light.
Secondary Colours of Light: Formed by mixing two primary colours. The combinations are: , , and .
Colour Addition: The process of mixing different wavelengths of light to produce a new colour. Adding all three primary colours results in white light: .
Colour Subtraction: The process of filters or pigments absorbing certain wavelengths and reflecting others. For example, a red filter absorbs all colours except red, which it transmits.
Refractive Index (): A dimensionless number that describes how fast light travels through a material relative to a vacuum. It is defined as .
Optical Applications: Lenses are used to refract light for specific purposes. A convex (converging) lens is used in magnifying glasses and to correct hyperopia (far-sightedness), whereas a concave (diverging) lens is used to correct myopia (near-sightedness).
Total Internal Reflection (TIR): Occurs when light travels from a denser medium to a rarer medium at an angle of incidence () greater than the critical angle (). This is the principle behind optical fibers.
📐Formulae
💡Examples
Problem 1:
A ray of light travels from air into a transparent plastic block. If the angle of incidence is and the angle of refraction is , calculate the refractive index of the plastic.
Solution:
Explanation:
We use Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the refractive index of the second medium relative to the first.
Problem 2:
Determine the color of a blue shirt when it is viewed under pure yellow light.
Solution:
The shirt will appear black.
Explanation:
Yellow light is a combination of Red and Green (). A blue shirt reflects only blue light and absorbs all other colours (Red and Green). Since the yellow light contains no blue component for the shirt to reflect, all the incident light is absorbed, making the shirt look black.
Problem 3:
Calculate the speed of light in a diamond if its refractive index is . (Take the speed of light in vacuum )
Solution:
Explanation:
The refractive index is the ratio of the speed of light in a vacuum to the speed of light in the medium. By rearranging the formula , we can solve for .