In a single-slit diffraction pattern, what is the angle for the first minimum?

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Question: In a single-slit diffraction pattern, what is the angle for the first minimum?

Options:

Correct Answer: sin(θ) = λ/a

Solution:

The angle for the first minimum in single-slit diffraction is given by sin(θ) = λ/a, where a is the slit width.

In a single-slit diffraction pattern, what is the angle for the first minimum?

In a single-slit diffraction pattern, what is the angle for the first minimum?

Step 1: Understand that in single-slit diffraction, light passes through a narrow slit and creates a pattern on a screen.
Step 2: Know that the first minimum in the diffraction pattern occurs at a specific angle.
Step 3: The formula to find this angle is sin(θ) = λ/a, where λ is the wavelength of the light and a is the width of the slit.
Step 4: To find the angle θ, you need to rearrange the formula to find sin(θ).
Step 5: Calculate sin(θ) by dividing the wavelength (λ) by the slit width (a).
Step 6: Use the inverse sine function (arcsin) to find the angle θ from sin(θ).

Single-Slit Diffraction – The phenomenon where light spreads out after passing through a narrow slit, creating a pattern of light and dark bands.
Minima in Diffraction Patterns – The angles at which destructive interference occurs, leading to dark spots in the diffraction pattern.
Mathematical Relationship – The relationship between the wavelength of light (λ), the slit width (a), and the angle (θ) for the first minimum.