For a diffraction pattern produced by a single slit, how does the width of the c

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Question: For a diffraction pattern produced by a single slit, how does the width of the central maximum change if the slit width is halved?

Options:

Correct Answer: Increases

Solution:

If the slit width is halved, the width of the central maximum increases because the angle for the first minimum increases.

For a diffraction pattern produced by a single slit, how does the width of the central maximum change if the slit width is halved?

For a diffraction pattern produced by a single slit, how does the width of the central maximum change if the slit width is halved?

Step 1: Understand that a diffraction pattern is created when light passes through a slit.
Step 2: Know that the central maximum is the brightest part of the pattern, located in the middle.
Step 3: The width of the central maximum is related to the width of the slit.
Step 4: When the slit width is halved, the angle at which the first minimum occurs increases.
Step 5: This means that the area of the central maximum becomes wider.
Step 6: Therefore, if the slit width is halved, the width of the central maximum increases.

Diffraction and Interference – Understanding how light behaves when passing through a narrow opening and the resulting patterns.
Single Slit Diffraction – The specific case of diffraction where light passes through a single slit, leading to a characteristic pattern of bright and dark fringes.
Mathematical Relationships – The relationship between slit width and the angular position of minima in the diffraction pattern.