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 single-slit diffraction?

Options:

Correct Answer: a sin(θ) = mλ

Solution:

The condition for the first minimum in single-slit diffraction is given by a sin(θ) = mλ, where m = 1 for the first minimum.

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

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

Correct Answer: a sin(θ) = mλ, where m = 1

Step 1: Understand that single-slit diffraction occurs when light passes through a narrow opening and creates a pattern of light and dark areas on a screen.
Step 2: Know that the dark areas (minima) in the diffraction pattern occur at specific angles (θ).
Step 3: The equation for the position of these minima is a sin(θ) = mλ, where 'a' is the width of the slit, 'λ' is the wavelength of the light, and 'm' is the order of the minimum.
Step 4: For the first minimum, we set m = 1 in the equation.
Step 5: Therefore, the condition for the first minimum is a sin(θ) = 1λ, or simply a sin(θ) = λ.

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