Grade 10

Grade 10Waves and optics


Light Waves and Optics


Light is a fascinating aspect of the natural world that fascinates both scientists and philosophers. Understanding light involves exploring its behavior and properties. Light can travel through a vacuum and is a form of energy that makes it possible for us to see the world around us. In this exploration, we delve deep into the fundamental concepts of light waves and optics, exploring how light behaves and how it can be controlled using scientific principles.

Nature of light

Light behaves as both a particle and a wave, this duality is one of the interesting aspects of light. In our discussion of light waves, we will focus on the wave-like behavior. Light waves are electromagnetic waves that do not require a medium to travel; instead, they can travel through a vacuum at the speed of light, which is approximately 3.00 x 10 8 m/s.

Electromagnetic spectrum

Light is part of the electromagnetic spectrum, which includes a range of waves with different wavelengths and frequencies. This includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays and gamma rays.

radioMicrowaveInfraredVisible

Visible light is the small part of the electromagnetic spectrum that is visible to the human eye. It ranges from violet light, which has a short wavelength, to red light, which has a long wavelength.

Wave properties of light

Light as a wave has several basic properties: wavelength, frequency, amplitude, and speed.

  • Wavelength (λ): The distance between two successive crests or troughs in a wave. It is usually measured in metres.
  • Frequency (f): The number of wave crests that pass a given point per second. It is measured in hertz (Hz).
  • Amplitude: The height of the wave from its midpoint (also called the equilibrium position) to its peak or trough. It is related to the brightness of the light.
  • Speed (c): The speed at which light travels. In a vacuum, this speed is always c = 3.00 x 10 8 m/s.

The relationship between these properties is given by the wave equation:

c = λ * f

This equation shows that the speed of light (c) is the product of its wavelength (λ) and frequency (f).

Example calculation

If the frequency of a light wave is 6 x 10 14 Hz, what is the wavelength?

c = λ * f
3.00 x 10 8 m/s = λ * 6 x 10 14 Hz
λ = (3.00 x 10 8 m/s) / (6 x 10 14 Hz)
λ = 5 x 10 -7 m

The wavelength of the light wave is 5 x 10 -7 m, which falls under the range of visible light.

Behavior of light

In optics, the study of light behavior involves examining how light is emitted, reflected, absorbed, transmitted, and refracted. Below we explore these behaviors in detail.

Reflection

Reflection occurs when light changes its direction after hitting a surface. The law of reflection states that the angle of incidence (the angle at which light falls on a surface) is equal to the angle of reflection (the angle at which the light leaves the surface).

incident rayReflected rayGeneral

In the above figure, light strikes the surface at an angle (angle of incidence) and reflects in the opposite direction at the same angle (angle of reflection).

Absorption

When light falls on a surface, it can be absorbed, which means that the energy of the light is taken up by the fibers or molecules of the object. This often makes the object appear colored, because some wavelengths of light are absorbed while others are reflected.

Example: A red apple appears red because it reflects red light and absorbs other colours.

Transmission and refraction

Transmission occurs when light passes through a material, such as glass. When light passes from one medium to another, its speed changes, causing the light to bend or refract. This bending is described by Snell's Law:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

where n₁ and n₂ are the refractive indices of the initial and secondary medium, and θ₁ and θ₂ are the angles of incidence and refraction, respectively.

incident rayRefracted rayGeneralApparent Depth

Due to the bending of light, the straw appears bent when placed in a glass of water.

Optical Instruments

Optics deals with the design and functioning of instruments that use light. Some common optical instruments include lenses, microscopes, and telescopes. These instruments rely on lenses and mirrors to direct and focus light.

Lens

Lenses are optical devices made of materials such as glass or plastic that converge or diverge rays by refracting light. They are mainly of two types:

  • Convex lens: bulges outward and focuses light into a focal point.
  • Concave lens: bends inward and diverges light.
ConvexConcave

Convex lenses are commonly used in magnifying glasses, cameras, and eyeglasses, while concave lenses are used in devices such as peepholes.

Summary

Light waves and optics explore the fascinating behavior and properties of light. Understanding the basics such as reflection, refraction, and the use of lenses provides a glimpse into the world of optics. This exploration enhances our knowledge of natural phenomena and the development of technologies that shape our daily lives.


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