JAMB Physics · Section A
Study notes for Refraction of Light Through at Plane and — part of the JAMB UTME Physics syllabus. 13 learning objectives with explanations and exam tips.
When light travels from one material to another, it bends. This bending is called refraction, and it happens because light moves at different speeds through different materials. Snell's law tells us exactly how much the light will bend: the ratio of the sines of the angles equals the ratio of the refractive indices.
Think about looking into a well filled with water in your village. The water appears shallower than it actually is because light from the bottom bends as it exits the water, making objects look closer to the surface. This is refraction at work. The denser the material light passes through, like water compared to air, the more it bends toward the normal line (an imaginary line perpendicular to the surface).
Using Snell's law, n₁sin θ₁ = n₂sin θ₂, you can predict exactly where refracted light will go.
When light travels from one transparent material to another, like from air into water, it bends. This bending is called refraction. The amount of bending depends on how dense the materials are. When you look into a well of water, objects at the bottom appear closer than they really are because light from them bends as it leaves the water.
For curved surfaces like lenses and mirrors, we use the lens maker's equation to find the focal length—the distance where light rays meet after passing through. Think of how a magnifying glass focuses sunlight onto paper to create heat. That spot is at the focal length.
The formula involves the lens's shape, the material it's made from, and how much light bends when entering it. Nigerian exam questions often test whether you can apply this formula correctly using given values.
When light travels from one transparent material to another, it bends at the boundary. This bending is called refraction, and it happens because light moves at different speeds in different materials. The refractive index tells us how much a material slows down light compared to air or vacuum.
Think of a stick partly submerged in water at a river bank—it appears bent at the water surface, even though it's straight. That's refraction! The refractive index (n) is calculated using Snell's Law: n = sin(angle of incidence) ÷ sin(angle of refraction). Water has a refractive index of about 1.33, meaning light slows down there compared to air.
To find refractive index practically, you measure the angles where light enters and leaves a transparent block, then apply the formula. This is a common JAMB practical question.
When you look down into a well or swimming pool, the water appears shallower than it actually is. This happens because light rays bend when they travel from water (denser medium) to air (less dense medium). Your eyes receive these bent rays and trace them backward in straight lines, making objects seem closer to the surface than they really are.
The actual distance is the real depth, while the distance your eyes perceive is the apparent depth. The relationship between them depends on the refractive index of the medium. For example, when you look at a coin at the bottom of a bucket of water, it appears raised up toward you even though it's sitting on the actual bottom.
This principle applies everywhere—from fish in ponds to objects underwater. The deeper the water and the wider your viewing angle, the more pronounced this effect becomes.
When light travels from one medium to another, it bends. This bending is refraction. Think of a stick placed half in water and half in air—it looks broken at the water surface, right? That's refraction happening. The light from the underwater part bends as it leaves the water, making the stick appear bent to your eye.
For refraction to occur, light must hit the surface at an angle (not straight on), and the two media must have different optical densities. A more optically dense medium slows light down more. Water is denser than air, so light bends toward the normal when entering water and away from the normal when leaving it. This is exactly what happens in Nigerian lagoons and swimming pools—objects underwater always appear closer and shallower than they really are because of refraction.
When light travels from one material to another, it bends at the boundary. This bending is refraction, and it happens because light travels at different speeds in different materials. The denser the material, the slower light moves through it.
Total internal reflection occurs when light travels from a denser material (like glass or water) toward a less dense material (like air) at a steep angle. When the angle exceeds the critical angle, the light bounces back completely instead of escaping. You see this when looking at a swimming pool from underwater—at certain angles, the pool bottom acts like a mirror.
This principle explains why diamonds sparkle brilliantly. Light entering a diamond undergoes total internal reflection multiple times inside, bouncing around and creating that characteristic sparkle before exiting.
Understanding both concepts requires knowing Snell's Law: n₁sin(θ₁) = n₂sin(θ₂).
When light travels from one transparent material to another, it bends. This bending is refraction. Think of it like this: when you look at a spoon in a glass of water, the spoon appears broken at the water surface. That's refraction happening in real time.
A periscope uses two plane mirrors and refraction principles to let you see over walls or tall objects without being seen. It's basically two mirrors angled at 45 degrees, reflecting light into your eye. The Nigerian Navy uses periscopes on submarines to see above water while staying submerged.
Prisms are triangular glass blocks that refract light beautifully. When white light enters a prism, it separates into rainbow colours because different colours bend at slightly different angles. This separation is called dispersion. A triangular prism can concentrate light or spread it out depending on how you position it.
When light travels from one medium to another, it bends. This bending is refraction. When light enters water from air, it slows down and bends toward the normal line—an imaginary line perpendicular to the surface. This is why a stick in water appears bent even though it's straight. The amount of bending depends on the refractive indices of both media and follows Snell's Law: n₁sinθ₁ = n₂sinθ₂. Think of it like a vehicle's wheels hitting wet sand at an angle—one wheel slows first, causing the vehicle to turn. Nigerian swimmers experience this daily—objects underwater appear closer than they really are because light from them refracts as it exits the water to reach our eyes.
When light passes through a plane (flat) glass surface, it bends due to the change in speed between different materials. This bending is called refraction. When you look at a coin at the bottom of a water bucket, it appears closer to the surface than it actually is—that's refraction happening. The water's refractive index is higher than air, so light bends as it exits the water toward your eye.
For magnification through a plane surface, the magnification is always equal to one, meaning the object appears the same size. However, it appears closer or shifted in position due to the refractive index difference. In Nigeria, when you look at fish in a river, they appear shallower than their actual depth because of this same principle.
When light travels from one material to another, it bends. This bending is called refraction, and it happens because light moves at different speeds in different materials. The refractive index tells you how much a material slows down light compared to air or vacuum.
Think about looking at a spoon in a glass of water at your home in Lagos. The spoon appears bent where it enters the water, right? That's refraction happening. The refractive index of glass is typically 1.5, meaning light travels 1.5 times slower in glass than in air.
To calculate refractive index, use this formula: n = sin of angle of incidence divided by sin of angle of refraction. Both angles are measured from the normal (an imaginary line perpendicular to the surface). The higher the refractive index, the more the light bends.
When light enters a glass prism, it bends twice—once entering and once leaving. This bending happens because light travels slower in glass than in air. Imagine a car moving from asphalt onto sand; it slows down and changes direction. That's refraction.
A prism separates white light into its colours because each colour bends differently. Red bends less than violet. You've seen this rainbow effect when sunlight passes through a car window or water droplets during harmattan season in Nigeria.
The amount of bending depends on two things: the angle at which light hits the prism (angle of incidence) and the material's refractive index. Denser materials bend light more. When you trace a ray through a prism, always use Snell's law: n₁ sin θ₁ = n₂ sin θ₂.
When light travels from one transparent material to another, it bends at the boundary. This bending is called refraction. Snell's law tells us that the angle of incidence and angle of refraction relate through the refractive indices of both materials. The material with higher refractive index bends light more.
Think about looking at a fish in a river. The fish appears shallower than it actually is because light from the fish bends when leaving the water. Your eyes trace back along the bent light rays, making the fish seem closer to the surface. This happens because water has a higher refractive index than air.
For refraction calculations, remember that light bends toward the normal when entering a denser medium and away from the normal when entering a less dense medium. The relationship is n₁sin(θ₁) = n₂sin(θ₂).
When light travels from one transparent material to another, it bends at the boundary. This bending is called refraction. The amount of bending depends on how much each material slows down light, measured by something called refractive index. Think of it like this: when you look at a spoon partially submerged in water, it appears bent at the waterline. That's refraction happening. The water slows light down more than air does, so light rays bend away from their original path.
To solve refraction problems, you'll use Snell's Law: n₁sinθ₁ = n₂sinθ₂. Here, n represents refractive index and θ represents angles from the normal (an imaginary perpendicular line). A practical example is how a glass block used in Nigerian physics labs bends light rays passing through it.