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In a Young's double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:
- a)24
- b)30
- c)18
- d)28
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In a Young's double slit experiment, 16 fringes are observed in a cer...
Given:
- Wavelength of light used in the first case, λ1 = 700 nm
- Number of fringes observed in a certain segment of the screen, n1 = 16
- Wavelength of light used in the second case, λ2 = 400 nm
- Number of fringes observed in the same segment of the screen in the second case, n2 = ?
To find:
The number of fringes observed in the same segment of the screen in the second case.
Concept:
In a Young's double-slit experiment, the number of fringes observed is given by the formula:
n = (2d/λ) * L
where:
- n is the number of fringes observed
- d is the distance between the slits
- λ is the wavelength of light used
- L is the distance between the double slits and the screen
Calculation:
Let's assume the distance between the double slits and the screen, L, is the same in both cases.
In the first case, n1 = 16
In the second case, n2 = ?
We can equate the two formulas to find the relationship between n1 and n2:
(2d/λ1) * L = (2d/λ2) * L
Cancelling out L and d from both sides of the equation:
2/λ1 = 2/λ2
Substituting the given values:
2/700 = 2/400
Simplifying the equation:
1/700 = 1/400
Cross-multiplying:
400 = 700
Since the equation is not satisfied, it means that the number of fringes observed in the second case, n2, will be different from n1.
Therefore, option D) 28 is the correct answer.
- Wavelength of light used in the first case, λ1 = 700 nm
- Number of fringes observed in a certain segment of the screen, n1 = 16
- Wavelength of light used in the second case, λ2 = 400 nm
- Number of fringes observed in the same segment of the screen in the second case, n2 = ?
To find:
The number of fringes observed in the same segment of the screen in the second case.
Concept:
In a Young's double-slit experiment, the number of fringes observed is given by the formula:
n = (2d/λ) * L
where:
- n is the number of fringes observed
- d is the distance between the slits
- λ is the wavelength of light used
- L is the distance between the double slits and the screen
Calculation:
Let's assume the distance between the double slits and the screen, L, is the same in both cases.
In the first case, n1 = 16
In the second case, n2 = ?
We can equate the two formulas to find the relationship between n1 and n2:
(2d/λ1) * L = (2d/λ2) * L
Cancelling out L and d from both sides of the equation:
2/λ1 = 2/λ2
Substituting the given values:
2/700 = 2/400
Simplifying the equation:
1/700 = 1/400
Cross-multiplying:
400 = 700
Since the equation is not satisfied, it means that the number of fringes observed in the second case, n2, will be different from n1.
Therefore, option D) 28 is the correct answer.
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Community Answer
In a Young's double slit experiment, 16 fringes are observed in a cer...
Let n1 fringes are visible with light of wavelength λ1 and n2 with light of wavelength λ2. Then
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In a Young's double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:a)24b)30c)18d)28Correct answer is option 'D'. Can you explain this answer?
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In a Young's double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:a)24b)30c)18d)28Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a Young's double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:a)24b)30c)18d)28Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Young's double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:a)24b)30c)18d)28Correct answer is option 'D'. Can you explain this answer?.
In a Young's double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:a)24b)30c)18d)28Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a Young's double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:a)24b)30c)18d)28Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Young's double slit experiment, 16 fringes are observed in a certain segment of the screen when light of wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen would be:a)24b)30c)18d)28Correct answer is option 'D'. Can you explain this answer?.
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