Scattering of Light (original) (raw)

Last Updated : 9 Apr, 2026

Scattering of light is the phenomenon in which light interacts with particles of a medium and gets redirected in different directions. The amount of scattering depends on the wavelength of light, due to which different colors scatter differently. Shorter wavelengths like blue scatter more in the atmosphere, making the sky appear blue, while longer wavelengths like red scatter less, making the Sun appear red during sunrise and sunset.

Scattering of Light

Factors Affecting Scattering

Scattering of light mainly depends on the wavelength of light and the size of particles in the medium. Shorter wavelengths scatter more, while longer wavelengths scatter less and pass easily through the medium.

1. Size of the particles

The colour or wavelengths of the particle scattered depend upon the size of the particles, such as

**2. Wavelength of the Ray

Scattering is inversely proportional to the wavelength.

Scattering ∝ 1/λ

where λ denotes the wavelength of the ray.

As there is inverse proportionality of the wavelength and scattering, this means that the light with a higher wavelength scatters more than light with shorter wavelengths.

Different forms of Scattering

Light dispersion takes place in many forms that are discussed below:

1. Elastic Scattering

When the energy of the incident and scattered beams of light is the same, then the scattering is called elastic scattering.

2. Inelastic Scattering

When the energy of the incident beam of light and the dispersed beam of light differ. Inelastic scattering is further classified into four types:

A. Rayleigh Scattering

Rayleigh scattering is the scattering of light by very small particles, where shorter wavelengths scatter more than longer wavelengths.

direction_of_incident_light_

B. Mie Scattering

Mie scattering occurs when the size of particles in the atmosphere is nearly equal to the wavelength of light. It usually takes place in the lower atmosphere where larger particles such as dust, smoke, and pollen are present, and it scatters all wavelengths almost equally.

C. Tyndall Effect

The Tyndall effect is the scattering of light by fine particles such as smoke, dust, or tiny water droplets suspended in a medium, which makes the path of light visible.

The color of scattered light depends on particle size:

Common observations of the Tyndall effect include:

Causes of Tyndall Effect

Examples

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D. Raman Effect

Raman effect is the inelastic scattering of light in which photons interact with molecules and exchange energy, resulting in a change in the energy of scattered light. This leads to the formation of Stokes and anti-Stokes lines.

Applications of Scattering of Light

1. Blue Colour of the Sky

The sky appears blue due to scattering of sunlight by tiny particles in the atmosphere. Blue light, having a shorter wavelength, scatters more strongly (\propto \frac{1}{\lambda^{4}}) than other colors. Hence, blue light spreads in all directions, making the sky look blue.

2. Red Color of Danger Signals

Red light has the longest wavelength, so it scatters the least in dust, smoke, or fog. Hence, it travels farther and is clearly visible from a long distance, making it suitable for danger signals.

3. Red appearance of the Sun during Sunrise and Sunset

During sunrise and sunset, sunlight travels a longer path, so shorter wavelengths scatter away. Longer wavelengths like red reach our eyes, making the Sun appear reddish. At noon, less scattering occurs, so the Sun looks white.

4. White Colour of Clouds

Clouds appear white because their large water droplets scatter all colors of sunlight equally. When these colors combine, they appear white to our eyes.

Solved Questions

**Question 1: Why does sunlight appear white when the Sun is overhead but red during sunrise and sunset?

**Solution:

**Question 2: How does the size of particles in a medium affect the color of scattered light? Give examples.

**Solution: Smaller particles scatter shorter wavelengths (blue) more efficiently, while larger particles scatter longer wavelengths (red) or even appear white.

**Question 3: A colloidal solution scatters light of wavelength 500 nm. Another wavelength of 600 nm is also present. Using p ∝ 1/λ 4 , find the ratio of scattered intensity of 500 nm light to 600 nm light.

**Solution: Rayleigh's law states:

p \propto \frac{1}{\lambda^4}

\frac{I_{500}}{I_{600}} = \left(\frac{\lambda_{600}}{\lambda_{500}}\right)^4

= \left(\frac{600}{500}\right)^4

= (1.2)^4\approx 2.07

**Question 4: Sunlight contains blue (450 nm) and green (550 nm) light. Using Rayleigh’s law, calculate how many times more blue light is scattered than green light.

**Solution: According to Rayleigh's law:

p \propto \frac{1}{\lambda^4}

\frac{I_\text{blue}}{I_\text{green}} = \left(\frac{\lambda_\text{green}}{\lambda_\text{blue}}\right)^4

= \left(\frac{550}{450}\right)^4

= (1.222)^4 \approx 2.23

Unsolved Problems

Question 1. Explain why the sky appears blue during the day and why it turns red during sunrise and sunset.

Question 2. Describe how the size of particles affects the color of scattered light. Give two examples from daily life.

Question 3. Explain why some people have blue eyes using the Tyndall Effect.

Question 4. Blue light has a wavelength of 450 nm, and red light has a wavelength of 650 nm. Using Rayleigh’s law p ∝ 1/λ4, calculate how many times more blue light is scattered than red light.

Question 5. A colloidal solution scatters light of wavelengths 500 nm and 600 nm. Calculate the ratio of the scattering intensity of 500 nm light to 600 nm light.