5.3 Reflection of Waves

Definition of Wave Reflection

Reflection Defined: Wave reflection happens when a wave travels through a material and then hits a surface, like a wall or a mirror. Instead of going through that surface, the wave turns around and moves back into the material it came from. It’s like bouncing a ball off a wall—the wave comes back instead of continuing forward.

No Change in Properties: When a wave reflects, it does not change its speed, how often it vibrates (frequency), or the distance between two wave peaks (wavelength). These properties stay the same because the wave is still moving in the same type of material it started in.

Universal Property: All types of waves, including those you can hear (like sound), see (like light), and feel (like water waves), can reflect. This is true for both waves that need a material to move (mechanical waves) and waves that can move through space (electromagnetic waves).

Types of Reflection

Plane Surface Reflection: This kind of reflection happens when a wave hits a flat and smooth surface, like a mirror or still water. The wave bounces off in a very neat and predictable direction, following special rules called the laws of reflection.

Examples of Plane Reflection: Some examples of plane reflection include light bouncing off a mirror to form a clear image, or straight water waves bouncing back from a flat wall in a ripple tank experiment.

Curved Surface Reflection: This happens when a wave hits a curved surface, like a spoon or a satellite dish. Because the surface isn’t flat, the wave changes direction in different ways depending on the shape of the curve.

Examples of Curved Reflection: For example, when light hits the inside of a curved mirror, it might focus to a point. Or when sound reflects off the round ceiling of a concert hall, it spreads out evenly so everyone hears the music clearly.

Laws of Reflection

First Law – i = r: The first law of reflection says that the angle the wave hits the surface (called the angle of incidence) is the same as the angle it bounces off (called the angle of reflection). These angles are measured from an imaginary line that stands straight up from the surface called the “normal line.”

Second Law – Same Plane: The second law says that the wave coming in, the wave bouncing off, and the normal line all lie on the same imaginary flat surface. This makes it easier to predict how and where the wave will reflect.

Dimensional Consistency: This means that the reflection doesn’t jump to a different plane or space—it always happens within one flat area. This rule makes it easier to draw diagrams and understand the behavior of reflected waves.

Characteristics of Reflected Waves

Wavelength Constant: After a wave reflects, the distance between its wave peaks (called wavelength) remains the same. This happens because the wave stays in the same type of material.

Frequency Constant: The number of waves that pass a point every second (frequency) stays constant too, since the wave source doesn’t change.

Speed Constant: Since the wave is still traveling through the same substance, like air or water, its speed stays exactly the same.

Direction Change: The only big change that happens is the wave’s direction. It turns around and heads a different way because of the reflection.

Amplitude Reduction: Sometimes, the reflected wave gets a little weaker (its amplitude gets smaller) because some of the energy is absorbed by the surface it hits.

Reflection of Different Types of Waves

Water Waves

Tank Reflection: In science experiments using a ripple tank, water waves reflect when they hit the wall of the tank. The angle the wave hits the wall is the same as the angle it reflects away from it.

Circular Wave Behavior: When water waves start from a point and move in circles, the reflected circles look like they are coming from a point on the other side of the wall, making it seem like there’s a mirror image.

Sound Waves

Echo Formation: An echo is what we hear when sound waves bounce off a surface and return to our ears. It’s a type of sound reflection.

Acoustic Design: Buildings like theaters and concert halls are carefully designed so that sound reflects in a way that makes the music or voices sound clear and reach all parts of the room.

Distance Measurement: People use reflected sound to measure distances. For example, ships use sonar to send sound waves into the ocean, and by timing the echo, they can figure out how deep the water is.

Light Waves

Mirror Reflection: When light waves hit a smooth surface like a mirror, they bounce back and let us see reflections, such as our own face.

Plane Mirror Image: A flat mirror shows us an image that is the same size as us, right side up, and looks like it’s behind the mirror. This is because of the way light reflects.

Curved Mirror Effects: Curved mirrors can change how images look. They can make objects look bigger, smaller, or even upside down, depending on the mirror’s shape. These are used in telescopes, headlights, and makeup mirrors.

Radio Waves

Ionosphere Reflection: Some radio waves can bounce off the ionosphere, a layer of gases high in the Earth’s atmosphere. This lets the waves travel much farther than they would on their own.

Broadcasting Utility: Thanks to this reflection, we can send radio signals long distances, even beyond the curve of the Earth, making it possible to listen to distant radio stations.

Mathematical Representation of Reflection

Reflection Formula: The most important formula for reflection is: angle of incidence (i) = angle of reflection (r). This means the wave bounces off the surface at the same angle it came in.

Applications of Reflection

Ultrasound Imaging: Doctors use sound wave reflection to take pictures of things inside our bodies. For example, ultrasound is used to check on babies inside their mothers.

Radar Systems: Radar works by sending out waves that bounce off objects like airplanes or cars. The reflection helps us detect where the object is and how far away it is.

Satellite Communications: Satellites use reflection to send signals back and forth between Earth and space. The signals bounce off surfaces to reach places they couldn’t go directly.

Periscope Design: Submarines and some tools use periscopes, which have mirrors that reflect light so people can see above water or around corners without being seen.

Optical Fibre Transmission: In fiber optic cables, light waves reflect inside the cable over and over without escaping. This helps carry internet and phone signals very fast and clearly.

Image Formation in Optics: Devices like cameras and telescopes use reflection to bend and focus light so we can see sharp and clear images.