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Which of the following equations represents the condition for the first minimum

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Question: Which of the following equations represents the condition for the first minimum in a single-slit diffraction pattern?

Options:

  1. a sin(θ) = λ
  2. a sin(θ) = 2λ
  3. a sin(θ) = 3λ
  4. a sin(θ) = 0

Correct Answer: a sin(θ) = λ

Solution:

The condition for the first minimum in a single-slit diffraction pattern is given by a sin(θ) = λ, where \'a\' is the slit width and \'λ\' is the wavelength.

Which of the following equations represents the condition for the first minimum

Practice Questions

Q1
Which of the following equations represents the condition for the first minimum in a single-slit diffraction pattern?
  1. a sin(θ) = λ
  2. a sin(θ) = 2λ
  3. a sin(θ) = 3λ
  4. a sin(θ) = 0

Questions & Step-by-Step Solutions

Which of the following equations represents the condition for the first minimum in a single-slit diffraction pattern?
  • Step 1: Understand that we are looking for the first minimum in a single-slit diffraction pattern.
  • Step 2: Know that 'a' represents the width of the slit.
  • Step 3: Know that 'λ' (lambda) represents the wavelength of the light being used.
  • Step 4: The angle 'θ' is the angle at which we observe the diffraction pattern.
  • Step 5: The condition for the first minimum occurs when the path difference between light from the edges of the slit is equal to one wavelength.
  • Step 6: This condition is mathematically expressed as a sin(θ) = λ.
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