Lecture 2 Flashcards

(44 cards)

1
Q

Define reflection

A

When light travelling in a medium encounters a boundry leading to a second medium, part of the
incident light is returned to the first medium from which it came.

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2
Q

Information of reflection and an example

A

When light travels through a medium (like air, glass, or water) and hits a boundary between that medium and another (like when light moves from air to water), part of the light is reflected back into the original medium. This process is called reflection.
Reflection happens because the light waves encounter a change in the properties of the material at the boundary. These properties could be things like the refractive index (how much the medium slows down light) or density. When light hits the boundary, some of it may be “bounced back” into the first medium, while the rest might pass into the second medium, possibly bending in the process (which is called refraction).
Here’s what happens in more detail:

Incident light: Light approaching the boundary is called the incident light.

Reflection: Some of this incident light gets reflected back into the first medium. The angle at which the light hits the boundary is called the angle of incidence. The angle at which the light is reflected is called the angle of reflection, and according to the law of reflection, these two angles are always equal. In other words, the angle of incidence equals the angle of reflection.

Refraction: The rest of the light may pass into the second medium and bend at the boundary, depending on the difference in the refractive indices of the two media. This bending is called refraction, and it follows Snell’s law.

The amount of reflection depends on several factors:

The angle of incidence: The closer the light hits the boundary at a perpendicular (90°) angle, the less it will be reflected and more likely it will pass into the second medium.

The difference in refractive indices: If the two media have a large difference in refractive indices, more light will be reflected.

So, reflection is basically the bouncing back of light from a surface or boundary when it encounters a change in the medium’s properties. This principle is used in many everyday phenomena, like mirrors or even the “shininess” of certain materials!

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3
Q

🟦 Info Card: Mirrors — Overview

A

Any smooth surface can act as a mirror.

Mirrors can be plane (flat) or curved.

Past: Made by coating glass with silver.

Present: Made by depositing a thin film of aluminium on a polished surface.

Mirrors may be back-coated or front-coated depending on their purpose.

Function: Redirect light rays and form images of objects.

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4
Q

What materials were used in the past and present to make mirrors?

A

Past: Silver coating on glass.

Present: Thin film of aluminium on a polished surface.

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5
Q

What are the main types of mirrors and their basic function?

A

Types: Plane and curved.

Function: Redirect light rays and form images of objects.

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6
Q

🟦 Info Card: Reflection at Plane Surfaces

A

There are two types of reflection:

Regular (specular) reflection

Occurs when a parallel beam of rays strikes a smooth, polished surface (like a mirror).

The rays are reflected in one direction.

Diffuse reflection

Occurs when a parallel beam of rays strikes an irregular or rough surface (like paper or a road).

The rays are scattered in many directions.

Importance: Diffuse reflection allows us to see non-luminous objects.

Example: At night, roads are visible because car headlights are diffusely reflected from the rough road surface.

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7
Q

What is the difference between regular (specular) and diffuse reflection?

A

Regular reflection: From a smooth, polished surface; rays are reflected in one direction.

Diffuse reflection: From a rough or irregular surface; rays scatter in all directions.

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8
Q

Why is diffuse reflection important in everyday life?

A

It enables us to see objects that do not emit light themselves.
Example: Roads are visible at night because car headlights are diffusely reflected from the rough surface.

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9
Q

🌟 1. Incident Ray (AB)

A

This is the incoming ray of light — the one that travels towards the mirror.
In your example, ray AB is the incident ray.
It strikes the mirror at a specific point, called the point of incidence.

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10
Q
  1. Point of Incidence (B)
A

This is the exact point on the mirror’s surface where the incident ray meets the mirror.
In your figure, point B is where the light ray hits the surface.
At this point, reflection begins.

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11
Q

🌟 3. Reflected Ray (BC)

A

After hitting the mirror, the light ray bounces off — this outgoing ray is called the reflected ray.
In your example, ray BC represents the reflected ray, which leaves the mirror at an angle.

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12
Q

🌟 4. Normal

A

If we draw an imaginary line that is perpendicular (at 90°) to the mirror surface at the point of incidence (B), that line is called the normal.
It helps us measure angles and understand how light reflects.

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13
Q

🌟 5. Angle of Incidence (i)

A

This is the angle between the incident ray (AB) and the normal at the point of incidence.
It tells us how “steeply” the light ray strikes the mirror.

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14
Q

🌟 6. Angle of Reflection (i′)

A

This is the angle between the reflected ray (BC) and the normal.
It shows how steeply the light bounces off the mirror.

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15
Q

🌟 Law of Reflection

A

The relationship between these angles is very simple but fundamental:

Angle of incidence (i) = Angle of reflection (i′)

This law means light reflects symmetrically — the path in is mirrored by the path out.

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16
Q

First law

A

The incident ray, the reflected ray and the
normal lie in one plane which is perpendicular
to the surface

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17
Q

Second law

A

The angle of reflection is equal to the angle of
incidence, i = i’

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18
Q

What does FOAIBAPM mean

A

Formation of an Image by a Plane Mirror

19
Q

🧩 1. The setup - FOAIBAPM

A

A point source of light, called S, is placed in front of a plane mirror.

From this point, light rays spread out (diverge) in different directions — let’s say three rays: SA, SB, and SC.

These rays hit the mirror at points A, B, and C.

20
Q

🪞 2. Reflection of the rays - FOAIBAPM

A

According to the law of reflection, the angle of incidence (i) equals the angle of reflection (i′) for each ray.

The ray SA, which hits the mirror perpendicularly, will be reflected straight back along its own path (because the angle of incidence is 0°).

The other rays (SB and SC) will reflect off the mirror at equal but opposite angles, along new paths (BD and CE).

21
Q

📐 3. Extending the reflected rays backward - FOAIBAPM

A

When you extend the reflected rays (BD and CE) backward behind the mirror, they appear to meet at a point called S′.

Your eyes perceive these rays as if they are coming from S′, even though they are not actually passing through that point.

This point S′ is where the image of the object (S) appears to be located.

22
Q

🔺 4. Geometrical proof (Triangles SAB and S′AB) - FOAIBAPM

A

By geometry:

Both triangles SAB and S′AB share the same size and shape (they are congruent).

They share a common side (AB).

The angles of incidence and reflection are equal (i = i′).

Both have a right angle at the mirror’s surface (∠SAB = ∠S′AB = 90°).

Because the triangles are congruent, SA = S′A.

That means:

The distance of the object from the mirror (SA) = The distance of the image behind the mirror (S′A)

23
Q

👁️ 5. What the eye sees - FOAIBAPM

A

When you look into the mirror:

The reflected rays (BD, CE, etc.) enter your eyes.

Your brain traces them backward in straight lines.

They appear to come from behind the mirror at point S′.

But no light actually comes from S′ — it’s only a virtual image.

24
Q

🧠 6. Summary: Key properties of an image formed by a plane mirror - FOAIBAPM

A

The image is virtual (cannot be formed on a screen).

The image is upright.

The image is laterally inverted (left and right are swapped).

The image distance = object distance from the mirror (SA = S′A).

The size of the image = size of the object.

25
Position - FOAIBAPM
the image is as far behind the mirror as the object is in front
26
Size - FOAIBAPM
the image is same size as the object
27
Appearance - FOAIBAPM
upright, laterally inverted (left-to-right reversal)
28
Nature - FOAIBAPM
the image is virtual
29
🟦 Info Card: The Sight-Testing Chart
Optometrists use a plane mirror in vision testing. Ideally, the eye chart should be 6 metres from the patient (to simulate distance vision). Most testing rooms are shorter than 6 metres, so: A mirror is placed 3 metres in front of the patient. The chart is placed just above or behind the patient. The patient views a virtual image of the chart in the mirror, which appears 6 metres away. The letters on the chart are printed in reverse, so that they appear correctly oriented in the mirror.
30
Why is a mirror used in an eye-testing room?
To make the eye chart appear 6 metres away in smaller rooms by reflecting it in a plane mirror, creating a virtual image of the chart.
31
Why are the letters on a sight-testing chart printed in reverse?
Because the patient views the chart through a mirror, and the mirror reverses the image — so reversed letters appear correctly oriented to the patient.
32
🪞 1. What are curved mirrors?
Curved mirrors are mirrors whose reflecting surfaces are part of a sphere — meaning they are not flat like a plane mirror but curved inward or outward.
33
Curved mirrors been used since ancient Greek times, and are still very useful today in many devices:
Car mirrors (to give a wider field of view) Reflecting telescopes (to collect and focus light from stars) Cinema projectors and makeup mirrors (to magnify images)
34
🔵 2. Types of curved mirrors
There are two types of spherical mirrors: Concave mirror (converging mirror) Curved inwards (like the inside of a spoon). It converges (brings together) parallel rays of light to a focus. Used in makeup mirrors, shaving mirrors, telescopes, headlights, etc. Convex mirror (diverging mirror) Curved outwards (like the back of a spoon). It diverges light rays — they spread out, and appear to come from a point behind the mirror. Used in vehicle side mirrors because it gives a wider field of view.
35
Mirror Surface (DAE) — Curved Mirror
This is the curved reflecting surface of the mirror. It represents the portion of the sphere that has been cut and polished to form either a concave or convex mirror.
36
🔹 Pole or Vertex (A) — Curved Mirror
The pole (A) is the midpoint of the mirror’s surface. It lies exactly at the centre of the reflecting area and serves as the reference point for measuring distances along the mirror’s axis.
37
Centre of Curvature (C) — Curved Mirror
The centre of curvature (C) is the centre of the sphere from which the mirror segment was formed. For a concave mirror, it lies in front of the mirror. For a convex mirror, it lies behind the mirror. It represents a point that is r units (the radius of curvature) away from the pole.
38
Principal Axis (AC) — Curved Mirror
The principal axis is the imaginary straight line that passes through the pole (A) and the centre of curvature (C). It acts as the symmetry line of the mirror and is used as a reference for measuring the paths of incident and reflected rays.
39
Aperture or Diameter (DE) — Curved Mirror
The aperture (DE) is the width of the mirror’s reflecting surface — the portion that actually reflects light. It defines how much of the spherical surface is used in the mirror.
40
🔹 Radius of Curvature (AC = r) — Curved Mirror
The radius of curvature (r) is the distance between the pole (A) and the centre of curvature (C). It determines how strongly curved the mirror is: A smaller radius → mirror is more curved. A larger radius → mirror is flatter.
41
🔹 1. Principal Focus (F)
When a narrow beam of light rays (parallel to and close to the principal axis) strikes a spherical mirror: All the reflected rays either meet at a point or appear to diverge from a point. This point is called the principal focus (F) of the mirror.
42
Concave Mirror (Converging) — Real Focus
Rays actually meet at F after reflection. A screen placed at F will show a real image of a distant object. The principal focus lies in front of the mirror.
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Convex Mirror (Diverging) — Virtual Focus
Reflected rays appear to come from F, but do not actually meet. A screen placed at F will not form an image. The principal focus lies behind the mirror.
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🔹 3. Focal Length (f)
The focal length (f) is the distance between the pole (A) and the principal focus (F). Notation: 𝑓 = 𝐴 𝐹 f=AF Determines how strongly the mirror converges or diverges rays: Shorter focal length → rays bend more sharply. Longer focal length → rays bend less.