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A beam of light passes through a narrow slit and produces a diffraction pattern.
A beam of light passes through a narrow slit and produces a diffraction pattern. What is the angle for the first minimum? (2022)
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Practice Questions
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Q1
A beam of light passes through a narrow slit and produces a diffraction pattern. What is the angle for the first minimum? (2022)
λ/a
2λ/a
λ/2a
a/λ
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The angle for the first minimum in single-slit diffraction is given by a sin θ = λ, hence θ = λ/a.
Questions & Step-by-step Solutions
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Q
Q: A beam of light passes through a narrow slit and produces a diffraction pattern. What is the angle for the first minimum? (2022)
Solution:
The angle for the first minimum in single-slit diffraction is given by a sin θ = λ, hence θ = λ/a.
Steps: 5
Show Steps
Step 1: Understand that when light passes through a narrow slit, it spreads out and creates a pattern called diffraction.
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 a sin(θ) = λ, where 'a' is the width of the slit and 'λ' is the wavelength of the light.
Step 4: Rearrange the formula to solve for θ: θ = arcsin(λ/a).
Step 5: Use the values of 'λ' and 'a' to calculate the angle θ.
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