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In the diffraction of a single slit experiment, if the slit width is half then the width of the central maxima will be
  • a)
    Halved
  • b)
    Becomes four times.
  • c)
    Remains the same
  • d)
    Doubled
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the diffraction of a single slit experiment, if the slit width is h...
Understanding Single Slit Diffraction
In a single slit diffraction experiment, the pattern observed on a screen is a result of the interference of light waves passing through the slit. The width of the central maximum is influenced by the width of the slit.
Effect of Slit Width on Central Maximum
- When the slit width is halved, the angle for the first minimum in the diffraction pattern is affected.
- The formula for the first minimum is given by:
sin(θ) = λ/a
where 'λ' is the wavelength of light and 'a' is the slit width.
Impact of Halving the Slit Width
- If the slit width 'a' is halved, i.e., 'a' becomes 'a/2', then the angle for the first minimum increases.
- This leads to a wider central maximum because the first minimum moves further away from the center.
Conclusion: Width of Central Maximum
- As the slit width decreases, the angular separation between the minima increases, resulting in a wider central maximum.
- Therefore, when the slit width is halved, the width of the central maximum doubles.
Final Answer
- The correct answer is option 'D': the width of the central maximum becomes doubled.
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Community Answer
In the diffraction of a single slit experiment, if the slit width is h...
Fringe width is inversely proportional to the distance between slits so it will be doubled.
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In the diffraction of a single slit experiment, if the slit width is half then the width of the central maxima will bea)Halvedb)Becomes four times.c)Remains the samed)DoubledCorrect answer is option 'D'. Can you explain this answer?
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