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Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE PDF Download

Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

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Properties of Light

  • Definition: Light is a form of electromagnetic energy causing vision.
  • Nature: Exhibits dual nature (wave and particle).
  • Propagation: Travels in straight lines, does not require a medium.
  • Speed: Maximum in vacuum (3 × 10⁸ m/s).
  • Phenomena: Image formation, twinkling of stars, rainbows, light bending.
  • Interactions: Reflection, refraction, or absorption when light hits a surface.

Reflection of Light

Definition: Light bounces off a surface, changing direction.

Laws of Reflection

  1. Angle of incidence (∠i) = Angle of reflection (∠r).
  2. Incident ray, reflected ray, and normal lie in the same plane.

Images

  • Real Image: Formed where light rays actually meet.
  • Virtual Image: Formed where light rays appear to meet.Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE
  • Plane Mirror Characteristics:
    1. Virtual, erect, same size as object.
    2. Image distance equals object distance.
    3. Laterally inverted (right appears left, vice versa).
    4. Application: AMBULANCE written reversed for correct rearview mirror reading.Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Spherical Mirrors

Types:
  • Concave: Reflecting surface curved inward (converging).
  • Convex: Reflecting surface curved outward (diverging).Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE
Key Terms:
  • Principal Axis: Line joining pole and center of curvature.
  • Pole (P): Center of the mirror.
  • Center of Curvature (C): Center of the sphere forming the mirror.
  • Radius of Curvature (R): Distance from pole to center of curvature.
  • Focus (F): Point where parallel rays converge (concave) or appear to diverge (convex).
  • Focal Length (f): Distance from pole to focus (f = R/2).
Ray Diagram Rules
  1. Ray parallel to principal axis: Passes through focus (concave) or appears to diverge from focus (convex).
  2. Ray through focus: Becomes parallel to principal axis after reflection.
  3. Ray through center of curvature: Reflects back along the same path.
  4. Ray incident at pole: Reflects obeying laws of reflection.

Concave Mirror Image Formation

  • Image formation by a concave mirror for different positions of the object Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE
  • Ray diagrams for the image formation by a concave mirrorCheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Concave Mirror Image Formation


Nature, position and relative size of the image formed by a convex mirror

Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Formation of an image by a convex mirrorCheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Uses

  • Concave: Torches, headlights, dentist mirrors, shaving mirrors, solar furnaces.
  • Convex: Rearview mirrors, security mirrors, blind turn visibility.

Sign Convention

  • Object on left: Object distance (u) always negative.
  • Distances along incident ray: Positive.
  • Distances against incident ray: Negative.
  • Above principal axis: Positive; below: Negative.
  • Focal length: Negative for concave, positive for convex.Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Mirror Formula

1/v + 1/u = 1/f

v = Image distance, u = Object distance, f = Focal length.

Magnification

m = hᵢ/hₒ = -v/u

  • m negative: Real image.
  • m positive: Virtual image.
  • m = 1: Same size (plane mirror).
  • m > 1: Enlarged.
  • m < 1: Diminished.

Refraction of Light

Definition: Bending of light as it passes between media due to change in velocity.

Velocity: Maximum in vacuum/air (3 × 10⁸ m/s), lower in denser media.

Laws of Refraction

  • Incident ray, refracted ray, and normal lie in the same plane.
  • Snell’s Law: n₁ sin(θ₁) = n₂ sin(θ₂).

Bending Behavior

  • Rarer to Denser: Ray bends toward normal (∠i > ∠r).
  • Denser to Rarer: Ray bends away from normal (∠i < ∠r).
  • Refractive Index (n): n = c/v (c = speed in vacuum, v = speed in medium).
  • Higher n for denser media; maximum for violet, minimum for red.

Relative Refractive Index

Refraction: When a ray of light travels obliquely from one transparent medium to another, it changes direction due to a change in speed. This phenomenon is called refraction.

Behaviour of Light:

  • From rarer to denser medium: Light slows down, bends toward the normal.
  • From denser to rarer medium: Light speeds up, bends away from the normal.

Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Refractive Index (n):

  • It quantifies the extent of change in direction of light when passing from one medium to another.
  • For two media, the refractive index of medium 2 with respect to medium 1 is:Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE
  • Similarly, for medium 1 with respect to medium 2:Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Absolute Refractive Index:

  • If medium 1 is vacuum or air, the refractive index of medium 2 is called the absolute refractive index:​
  • Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSESpeed of light in vacuum: 3×108m/s.
  • In air, speed is slightly less; in denser media like glass or water, it reduces significantly.

Optical Density:

  • Optical density refers to a medium’s ability to refract light, not its mass density.
  • A medium with a higher refractive index is optically denser; light slows down and bends toward the normal.
  • A medium with a lower refractive index is optically rarer; light speeds up and bends away from the normal.

Key Observations:

  • Light travels fastest in a vacuum, slower in air, and much slower in glass or water.
  • An optically denser medium may not have higher mass density (e.g., kerosene has a higher refractive index than water but lower mass density).

Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Lenses

Definition: Transparent material with two curved surfaces or one curved and one plane.

Types:

  • Convex (Converging): Thicker at center.Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE
  • Concave (Diverging): Thinner at center.Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Key Terms

  • Optical Center (O): Ray passes undeviated.
  • Principal Axis: Line through optical center, perpendicular to lens.
  • Principal Focus: Point where parallel rays converge (convex) or appear to diverge (concave).
  • Focal Length (f): Distance from optical center to focus.
  • Aperture: Effective diameter, intensity ∝ (aperture)².

Ray Diagram Rules

  1. Ray through optical center: Passes undeviated.
  2. Ray through first focus (convex) or toward it (concave): Becomes parallel after refraction.
  3. Ray parallel to principal axis: Passes through second focus (convex) or appears to diverge from it (concave).

Convex Lens Image Formation

Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSECheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Concave Lens Image Formation

Cheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSECheat Sheet: Light: Reflection and Refraction | Physics Class 10 ICSE

Lens Formula

1/f = 1/v - 1/u

f = Focal length, v = Image distance, u = Object distance.

Sign Convention

  • u: Always negative.
  • v: Positive for real, negative for virtual.
  • f: Positive for convex, negative for concave.

Power of Lens

P = 1/f (f in meters).

Unit: Diopter (D).

Sign: Positive for convex, negative for concave.

Magnification

M = hᵢ/hₒ = v/u

  • M negative: Real image.
  • M positive: Virtual image.
  • M = 1: Same size.
  • M > 1: Enlarged.
  • M < 1: Diminished.

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FAQs on Cheat Sheet: Light: Reflection and Refraction - Physics Class 10 ICSE

1. What are the fundamental properties of light?
Ans. The fundamental properties of light include its ability to travel in straight lines, its reflection and refraction when encountering different media, and its interaction with materials, which leads to phenomena such as absorption and transmission. Light also exhibits both wave-like and particle-like properties, known as wave-particle duality.
2. How does reflection of light work, and what are the laws governing it?
Ans. Reflection of light occurs when it strikes a surface and bounces back. The laws of reflection state that the angle of incidence (the angle between the incoming ray and the normal) is equal to the angle of reflection (the angle between the reflected ray and the normal). This is true for all types of surfaces, whether they are smooth or rough.
3. What is the difference between concave and convex mirrors?
Ans. Concave mirrors are curved inward, resembling a bowl, and can converge light rays to a focal point, producing real or virtual images depending on the object's distance from the mirror. Conversely, convex mirrors are curved outward and diverge light rays, always producing virtual images that are smaller than the object and located behind the mirror.
4. What is refraction of light, and how does it occur?
Ans. Refraction of light is the bending of light rays as they pass from one medium to another with a different density. This occurs due to a change in the speed of light in different materials. The laws of refraction, known as Snell's law, can be expressed as n₁ sin(θ₁) = n₂ sin(θ₂), where n represents the refractive indices of the respective media and θ represents the angles of incidence and refraction.
5. How are reflection and refraction applied in daily life?
Ans. Reflection and refraction are utilized in various applications in daily life. For instance, reflection is used in mirrors for personal grooming and in reflective safety gear. Refraction is employed in lenses for glasses, cameras, and microscopes, enhancing vision and image quality by manipulating light paths.
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