What is the relationship between the wavelength of light and the angle of diffra

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Question: What is the relationship between the wavelength of light and the angle of diffraction in a grating? (2023)

Options:

Correct Answer: Directly proportional

Exam Year: 2023

Solution:

The angle of diffraction is directly proportional to the wavelength of light used in a diffraction grating, as described by the grating equation.

What is the relationship between the wavelength of light and the angle of diffraction in a grating? (2023)

What is the relationship between the wavelength of light and the angle of diffraction in a grating? (2023)

Step 1: Understand what a diffraction grating is. It is a tool that splits light into different colors or wavelengths.
Step 2: Learn about wavelength. Wavelength is the distance between two peaks of a wave of light.
Step 3: Know what angle of diffraction means. It is the angle at which light is bent or spread out when it passes through the grating.
Step 4: Familiarize yourself with the grating equation: d * sin(θ) = n * λ, where d is the distance between grating lines, θ is the angle of diffraction, n is the order of the diffraction pattern, and λ is the wavelength of light.
Step 5: Observe that in the equation, as the wavelength (λ) increases, the angle of diffraction (θ) also increases for a given order (n). This means they are directly proportional.
Step 6: Conclude that longer wavelengths of light will result in larger angles of diffraction when using a diffraction grating.

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