What is the relationship between the slit width and the angular position of the

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Question: What is the relationship between the slit width and the angular position of the first minimum in single-slit diffraction?

Options:

Correct Answer: Inversely proportional

Solution:

The angular position of the first minimum is inversely proportional to the slit width; as the slit width decreases, the angle increases.

What is the relationship between the slit width and the angular position of the first minimum in single-slit diffraction?

What is the relationship between the slit width and the angular position of the first minimum in single-slit diffraction?

Step 1: Understand that single-slit diffraction occurs when light passes through a narrow opening (the slit).
Step 2: Know that the first minimum is the first dark spot you see on either side of the central bright spot when looking at the diffraction pattern.
Step 3: The position of this first minimum is determined by the formula: sin(θ) = λ / a, where θ is the angle to the first minimum, λ is the wavelength of the light, and a is the width of the slit.
Step 4: Realize that if the slit width (a) gets smaller, the value of sin(θ) must increase to keep the equation balanced, which means θ (the angle) must also increase.
Step 5: Conclude that as the slit width decreases, the angular position of the first minimum increases, showing an inverse relationship.

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