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The fringes produce in diffraction patt...

The fringes produce in diffraction pattern are of

A

Are of equal width

B

Are of unequal width

C

Having equal intersity for bright frings

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the nature of fringes produced in a diffraction pattern, we can follow these steps: ### Step-by-Step Solution 1. **Understanding Diffraction Patterns**: - Diffraction patterns are formed when waves encounter an obstacle or a slit that is comparable in size to their wavelength. The pattern consists of alternating bright and dark fringes (maxima and minima). 2. **Identifying Central Maximum**: - In a typical diffraction pattern, the central maximum is the brightest and widest fringe. It is located at the center of the pattern. 3. **Analyzing Intensity Distribution**: - The intensity of the light varies across the pattern. The central maximum has the highest intensity, while the intensity decreases for the subsidiary maxima (the next bright fringes) and reaches zero at the minima. 4. **Width of the Fringes**: - The width of the central maximum is greater than that of the subsidiary maxima. For example, the width of the central maximum can be expressed as \(2\lambda/D\) (where \(D\) is the slit width), while the width of the subsidiary maxima is typically less than this value. 5. **Conclusion on Intensity and Width**: - Since the intensity of the bright fringes is not equal (the central maximum is brighter than the others), and the widths of the fringes are also not equal (the central maximum is wider than the subsidiary maxima), we conclude that: - The fringes produced in a diffraction pattern are of **unequal intensity** and **unequal width**. 6. **Final Answer**: - Therefore, the correct option is that the fringes produced in the diffraction pattern are of **unequal width**.
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Knowledge Check

  • Which of the following changes to a double-slit interference experiment with light would increase the widths of the fringes in the diffraction pattern that appears on the screen?

    A
    Use light of a shorter wavelength
    B
    Move the screen closer to the slits
    C
    Move the slits closer together
    D
    Use light with a lower wave speed
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