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A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will be
- a)632 μm
- b)1580 μm
- c)918 μm
- d)740 μm
Correct answer is option 'B'. Can you explain this answer?
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Understanding Young's Double Slit Experiment
Young's double slit experiment is a fundamental demonstration of wave interference. In this scenario, we need to calculate the position of the first minimum on the screen.
Given Data
- Slit separation (d) = 0.4 mm = 0.4 x 10^-3 m
- Distance from slits to screen (L) = 200 cm = 2 m
- Wavelength of the laser light (λ) = 632 nm = 632 x 10^-9 m
Position of Intensity Minimum
The position of the minima in a double slit experiment is given by the formula:
y = (m + 0.5) * (λ * L / d)
where:
- m is the order of the minimum (for the first minimum, m = 0)
For the first minimum (m = 0):
y = (0 + 0.5) * (λ * L / d)
Calculation Steps
1. Substitute the values into the formula:
y = 0.5 * ((632 x 10^-9 m) * (2 m) / (0.4 x 10^-3 m))
2. Calculate the expression step by step:
- (632 x 10^-9 m) * (2 m) = 1264 x 10^-9 m
- Divide by (0.4 x 10^-3 m):
1264 x 10^-9 m / 0.4 x 10^-3 m = 3.16 x 10^-3 m = 3160 μm
3. Finally, since we need the position of the first minimum with respect to the central maximum:
y = 3160 μm / 2 = 1580 μm
Conclusion
Thus, the position of the first intensity minimum with respect to the central maximum is indeed 1580 μm, which corresponds to option 'B'.
Young's double slit experiment is a fundamental demonstration of wave interference. In this scenario, we need to calculate the position of the first minimum on the screen.
Given Data
- Slit separation (d) = 0.4 mm = 0.4 x 10^-3 m
- Distance from slits to screen (L) = 200 cm = 2 m
- Wavelength of the laser light (λ) = 632 nm = 632 x 10^-9 m
Position of Intensity Minimum
The position of the minima in a double slit experiment is given by the formula:
y = (m + 0.5) * (λ * L / d)
where:
- m is the order of the minimum (for the first minimum, m = 0)
For the first minimum (m = 0):
y = (0 + 0.5) * (λ * L / d)
Calculation Steps
1. Substitute the values into the formula:
y = 0.5 * ((632 x 10^-9 m) * (2 m) / (0.4 x 10^-3 m))
2. Calculate the expression step by step:
- (632 x 10^-9 m) * (2 m) = 1264 x 10^-9 m
- Divide by (0.4 x 10^-3 m):
1264 x 10^-9 m / 0.4 x 10^-3 m = 3.16 x 10^-3 m = 3160 μm
3. Finally, since we need the position of the first minimum with respect to the central maximum:
y = 3160 μm / 2 = 1580 μm
Conclusion
Thus, the position of the first intensity minimum with respect to the central maximum is indeed 1580 μm, which corresponds to option 'B'.
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A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer?
Question Description
A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer?.
A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer?.
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A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will bea)632 μmb)1580 μmc)918 μmd)740 μmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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