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In a single-slit diffraction pattern, the width of the central maximum is 4 mm.

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Question: In a single-slit diffraction pattern, the width of the central maximum is 4 mm. If the slit width is halved, what will be the new width of the central maximum?

Options:

  1. 2 mm
  2. 4 mm
  3. 8 mm
  4. 16 mm

Correct Answer: 8 mm

Solution: 

The width of the central maximum is inversely proportional to the slit width. Halving the slit width doubles the width of the central maximum to 8 mm.

In a single-slit diffraction pattern, the width of the central maximum is 4 mm.

Practice Questions

Q1
In a single-slit diffraction pattern, the width of the central maximum is 4 mm. If the slit width is halved, what will be the new width of the central maximum?
  1. 2 mm
  2. 4 mm
  3. 8 mm
  4. 16 mm

Questions & Step-by-Step Solutions

In a single-slit diffraction pattern, the width of the central maximum is 4 mm. If the slit width is halved, what will be the new width of the central maximum?
  • Step 1: Understand that in a single-slit diffraction pattern, the width of the central maximum is related to the width of the slit.
  • Step 2: Know that if the slit width decreases, the width of the central maximum increases.
  • Step 3: The original width of the central maximum is given as 4 mm.
  • Step 4: If the slit width is halved, this means the slit is now narrower.
  • Step 5: Since the width of the central maximum is inversely proportional to the slit width, halving the slit width will double the width of the central maximum.
  • Step 6: Therefore, the new width of the central maximum will be 4 mm (original width) multiplied by 2, which equals 8 mm.
  • Single-Slit Diffraction – The phenomenon where light spreads out after passing through a narrow slit, creating a pattern of light and dark bands.
  • Inverse Proportionality – The relationship where one quantity increases as another decreases; in this case, the width of the central maximum is inversely proportional to the slit width.
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