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A light source, which emits two wavelength λ1 = 400 nm and λ2 = 600 nm, is used in a Young’s double slit experiment. If recorded fringe widths for λ1 and λ2 are β1 and β2 and the number of fringes for them within a distance y on one side of the central maximum are m1 and m2 respectively, then
  • a)
    β2 > β1  
  • b)
    m1 > m2
  • c)
    Form the central maximum, 3rd maximum of λ2 overlaps with 5th minimum of λ1
  • d)
    The angular separation of fringes for λ1 is gr eater than λ2.
Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
A light source, which emits two wavelength λ1 = 400 nm and &lam...
As λ2 > λ1 \ β2 > β1  ∴ (a) is correct option.
Therefore m1 > m2 ∴ (b) is correct option.
3 × 600 = 4.5 × 400  ∴  (c) is correct option.
The angular width = λ/d ∴ (d) is incorrect option.
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Most Upvoted Answer
A light source, which emits two wavelength λ1 = 400 nm and &lam...

Explanation:

Given Parameters:
- Wavelengths: λ1 = 400 nm and λ2 = 600 nm
- Recorded fringe widths: β1 and β2
- Number of fringes for λ1 and λ2 within a distance y: m1 and m2

Explanation of Options:

a) β2 > β1:
- The fringe width is inversely proportional to the wavelength, so β2 > β1 since λ2 < />

b) m1 > m2:
- The number of fringes is directly proportional to the wavelength, so m1 > m2 since λ1 < />

c) Third maximum overlap with fifth minimum:
- The condition for the overlapping of fringes is given by (m1 + 1/2) * β1 = (m2 + 1/2) * β2.
- Given m1 = 3 and m2 = 5, this condition is satisfied, so the third maximum of λ2 overlaps with the fifth minimum of λ1.

Conclusion:
- Option A, B, and C are correct based on the principles of Young's double-slit experiment and the properties of interference fringes.
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A light source, which emits two wavelength λ1 = 400 nm and λ2 = 600 nm, is used in a Young’s double slit experiment. If recorded fringe widths for λ1 and λ2 are β1 and β2 and the number of fringes for them within a distance y on one side of the central maximum are m1 and m2 respectively, thena)β2 > β1b)m1 > m2c)Form the central maximum, 3rd maximum of λ2 overlaps with 5th minimum of λ1d)The angular separation of fringes for λ1 is gr eater than λ2.Correct answer is option 'A,B,C'. Can you explain this answer?
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A light source, which emits two wavelength λ1 = 400 nm and λ2 = 600 nm, is used in a Young’s double slit experiment. If recorded fringe widths for λ1 and λ2 are β1 and β2 and the number of fringes for them within a distance y on one side of the central maximum are m1 and m2 respectively, thena)β2 > β1b)m1 > m2c)Form the central maximum, 3rd maximum of λ2 overlaps with 5th minimum of λ1d)The angular separation of fringes for λ1 is gr eater than λ2.Correct answer is option 'A,B,C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A light source, which emits two wavelength λ1 = 400 nm and λ2 = 600 nm, is used in a Young’s double slit experiment. If recorded fringe widths for λ1 and λ2 are β1 and β2 and the number of fringes for them within a distance y on one side of the central maximum are m1 and m2 respectively, thena)β2 > β1b)m1 > m2c)Form the central maximum, 3rd maximum of λ2 overlaps with 5th minimum of λ1d)The angular separation of fringes for λ1 is gr eater than λ2.Correct answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light source, which emits two wavelength λ1 = 400 nm and λ2 = 600 nm, is used in a Young’s double slit experiment. If recorded fringe widths for λ1 and λ2 are β1 and β2 and the number of fringes for them within a distance y on one side of the central maximum are m1 and m2 respectively, thena)β2 > β1b)m1 > m2c)Form the central maximum, 3rd maximum of λ2 overlaps with 5th minimum of λ1d)The angular separation of fringes for λ1 is gr eater than λ2.Correct answer is option 'A,B,C'. Can you explain this answer?.
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