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In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nth bright band due to red light coincides with (n + 1)th bright band due to blue light, is
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
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In Young's double slit experiment, the wavelength of red light is ...
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In Young's double slit experiment, the wavelength of red light is ...
Given:
Wavelength of red light (λ_red) = 7800 Å
Wavelength of blue light (λ_blue) = 5200 Å
To find:
Value of n for which nth bright band due to red light coincides with (n + 1)th bright band due to blue light
Explanation:
1. Condition for bright fringes:
For bright fringes in Young's double-slit experiment, the path difference between the two waves should be an integer multiple of the wavelength. Mathematically, this condition can be expressed as:
mλ_red = (m + 1)λ_blue, where m is an integer
2. Solving for n:
Given that the nth bright band due to red light coincides with the (n + 1)th bright band due to blue light, we can set m = n:
nλ_red = (n + 1)λ_blue
Substitute the given values of λ_red and λ_blue:
n * 7800 = (n + 1) * 5200
Solve for n:
7800n = 5200n + 5200
2600n = 5200
n = 2
3. Answer:
Therefore, the value of n for which the nth bright band due to red light coincides with the (n + 1)th bright band due to blue light is 2. Hence, the correct answer is option B.
Wavelength of red light (λ_red) = 7800 Å
Wavelength of blue light (λ_blue) = 5200 Å
To find:
Value of n for which nth bright band due to red light coincides with (n + 1)th bright band due to blue light
Explanation:
1. Condition for bright fringes:
For bright fringes in Young's double-slit experiment, the path difference between the two waves should be an integer multiple of the wavelength. Mathematically, this condition can be expressed as:
mλ_red = (m + 1)λ_blue, where m is an integer
2. Solving for n:
Given that the nth bright band due to red light coincides with the (n + 1)th bright band due to blue light, we can set m = n:
nλ_red = (n + 1)λ_blue
Substitute the given values of λ_red and λ_blue:
n * 7800 = (n + 1) * 5200
Solve for n:
7800n = 5200n + 5200
2600n = 5200
n = 2
3. Answer:
Therefore, the value of n for which the nth bright band due to red light coincides with the (n + 1)th bright band due to blue light is 2. Hence, the correct answer is option B.
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In Young's double slit experiment, the wavelength of red light is ...
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In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nthbright band due to red light coincides with (n + 1)thbright band due to blue light, isa)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
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In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nthbright band due to red light coincides with (n + 1)thbright band due to blue light, isa)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nthbright band due to red light coincides with (n + 1)thbright band due to blue light, isa)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nthbright band due to red light coincides with (n + 1)thbright band due to blue light, isa)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nthbright band due to red light coincides with (n + 1)thbright band due to blue light, isa)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nthbright band due to red light coincides with (n + 1)thbright band due to blue light, isa)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nthbright band due to red light coincides with (n + 1)thbright band due to blue light, isa)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
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