Sigma Percentile
JEE Main 2026
LEVELJEE Main

Animated Solution for Physics - Optics: In the List-I, four optical effects are mentioned. The physical phenomena of light which are essential to describe these optical effects are given in List-II. Choose the option which describes the correct match between the entries in List-I to those in List-II.

List-I

(P)
Colorful sky in north polar region (Aurora Borealis)
(Q)
Partially polarized sun light
(R)
Rainbow
(S)
Dark and bright fringes

List-II

(1)
Dispersion and reflection
(2)
Total internal reflection
(3)
Diffraction
(4)
Scattering of light by molecules in the atmosphere
(5)
Emission of radiation from oxygen and nitrogen atoms excited by charged particles

Select Matching Pairs:

PMatches
QMatches
RMatches
SMatches

Visualized Solution

\text{Optical Phenomena}

  • \text{List-I contains natural optical effects.}
  • \text{List-II contains their underlying physical causes.}

\text{Aurora Borealis}

  • \text{Charged particles from the Sun enter Earth's magnetic field.}
  • \text{They collide with Oxygen and Nitrogen atoms in the upper atmosphere.}
  • \text{Excited atoms emit radiation (light) of specific colors.}
  • \text{Match: (P)} \rightarrow \text{(5)}

\text{Polarization of Sunlight}

  • \text{Sunlight is unpolarized.}
  • \text{When it interacts with atmospheric molecules, it scatters.}
  • \text{Scattered light in a direction perpendicular to the incident ray is partially or fully polarized.}
  • \text{Match: (Q)} \rightarrow \text{(4)}

\text{Rainbow Formation}

  • \text{Sunlight enters a spherical water droplet.}
  • \text{It undergoes refraction and dispersion (splitting into colors).}
  • \text{Then, it undergoes total internal reflection at the back of the drop.}
  • \text{Match: (R)} \rightarrow \text{(1)}

\text{Dark and Bright Fringes}

  • \text{Fringes are formed due to the superposition of light waves.}
  • \text{This occurs in phenomena like Interference (YDSE) and Diffraction.}
  • \text{Match: (S)} \rightarrow \text{(3)}

\text{Final Matching}

  • \text{P} \rightarrow \text{5}
  • \text{Q} \rightarrow \text{4}
  • \text{R} \rightarrow \text{1}
  • \text{S} \rightarrow \text{3}

\text{The Way Forward}

  • \text{What if the Earth had no atmosphere?}
  • \text{Would the sky still be blue?}
  • \text{Would we see rainbows or auroras?}

The Sigma Insight: Polarization

Solution Diagram
The universe is a grand theater, and light is its most versatile actor. From the mesmerizing dance of the Northern Lights to the simple beauty of a rainbow, optical phenomena surround us. But what are the fundamental physical laws directing this cosmic play? Let's embark on a journey to decode these natural masterpieces.

The Magic of the Northern Lights

Imagine standing in the freezing cold near the North Pole, looking up at a sky painted with vibrant strokes of green, red, and purple. This is the Aurora Borealis. But it's not magic; it's a spectacular collision of worlds.
Our Sun constantly spews out a stream of charged particles known as the solar wind. When these high-energy particles reach Earth, they are funneled by our planet's magnetic field toward the poles.
Here, they crash into the upper atmosphere, violently colliding with oxygen and nitrogen atoms. These collisions transfer energy to the atoms, exciting their electrons to higher energy states. As the electrons inevitably fall back to their ground state, they release this excess energy as photons of light. Thus, the aurora is fundamentally the emission of radiation from excited oxygen and nitrogen atoms.

The Invisible Filter

Polarization by Scattering
Have you ever worn polarized sunglasses and noticed how they magically darken the bright blue sky? This happens because the sunlight reaching your eyes from the sky is partially polarized.
Sunlight itself is unpolarized; its electric fields vibrate in all possible directions perpendicular to its path. However, as this light travels through our atmosphere, it encounters air molecules.
These molecules absorb and re-radiate the light—a process called scattering. When you look at light scattered at a 90-degree angle to the sun's original path, the geometry of the scattering process dictates that the light waves vibrate predominantly in one plane. This creates partially polarized light, a direct consequence of the scattering of light by molecules in the atmosphere.

The Geometry of a Rainbow

After a refreshing rain shower, the sun peeks out, and a glorious arc of colors spans the sky. The rainbow is perhaps the most beloved optical phenomenon, and it relies on a delicate interplay of geometry and optics.
When a ray of white sunlight enters a spherical water droplet, it slows down and bends—a process called refraction. Because different colors of light travel at slightly different speeds in water, they bend by different amounts. This splits the white light into its constituent colors, a phenomenon known as dispersion.
The separated colors then hit the back inner surface of the droplet. Instead of passing through, a significant portion of the light bounces back due to internal reflection. Finally, the light refracts one last time as it exits the droplet, spreading the colors out into the beautiful spectrum we see. Therefore, a rainbow is the beautiful child of dispersion and reflection.

The Wave Nature of Light

Fringes and Diffraction
If you shine a laser through a very narrow slit, you won't just see a single line of light on the wall. Instead, you'll see a central bright band flanked by alternating dark and bright fringes.
This counterintuitive pattern is a hallmark of light's wave nature. When the light wave passes through the narrow opening, it spreads out—a phenomenon called diffraction.
As the diffracted waves overlap, they interfere with each other. Where the peaks of the waves align, they construct a bright fringe. Where a peak meets a trough, they cancel out, leaving a dark fringe. These fringes are the undeniable signature of diffraction and interference.

Bringing It All Together

Physics is not just a collection of equations; it is the language we use to read the poetry of nature. By understanding emission, scattering, dispersion, and diffraction, we don't lose the magic of the world—we deepen our appreciation for it. The next time you see a rainbow or a colorful sunset, you'll know exactly what the light is doing behind the scenes!

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