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The second order bright fringe in a single slit diffraction pattern is 1.4 mm from the center. The screen is 80 cm from the slit of width 0.80 mm. Assuming monochromatic incident light calculate the wavelength of light.
Correct answer is '5600'. Can you explain this answer?
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Verified Answer
The second order bright fringe in a single slit diffraction pattern is...
As in case of diffraction at single slit second order maximum is approximately midway between 2nd and 3rd diffraction minima,
.....(1)
and as for small q, sin q = q = (y/D)....(2)
from equ.(1) and (2), we have
So
.....(1)and as for small q, sin q = q = (y/D)....(2)
from equ.(1) and (2), we have
So
Most Upvoted Answer
The second order bright fringe in a single slit diffraction pattern is...
Given:
Second order bright fringe = 1.4 mm
Distance from slit to screen = 80 cm
Width of slit = 0.80 mm
To find:
Wavelength of light
Formula used:
For single slit diffraction,
y = (mλL/d)
where y = distance from center to mth order bright fringe, λ = wavelength of light, L = distance from slit to screen, d = width of slit, m = order of fringe
Solution:
Using the formula,
y = (mλL/d)
For the second order bright fringe, m = 2
So, 1.4 mm = (2 × λ × 80 cm) / 0.80 mm
Simplifying, we get
λ = (1.4 mm × 0.80 mm) / (2 × 80 cm × 2)
λ = 5600 Å
Answer:
The wavelength of light is 5600 Å.
Second order bright fringe = 1.4 mm
Distance from slit to screen = 80 cm
Width of slit = 0.80 mm
To find:
Wavelength of light
Formula used:
For single slit diffraction,
y = (mλL/d)
where y = distance from center to mth order bright fringe, λ = wavelength of light, L = distance from slit to screen, d = width of slit, m = order of fringe
Solution:
Using the formula,
y = (mλL/d)
For the second order bright fringe, m = 2
So, 1.4 mm = (2 × λ × 80 cm) / 0.80 mm
Simplifying, we get
λ = (1.4 mm × 0.80 mm) / (2 × 80 cm × 2)
λ = 5600 Å
Answer:
The wavelength of light is 5600 Å.
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The second order bright fringe in a single slit diffraction pattern is 1.4 mm from the center. The screen is 80 cm from the slit of width 0.80 mm. Assuming monochromatic incident light calculate the wavelength of light.Correct answer is '5600'. Can you explain this answer?
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The second order bright fringe in a single slit diffraction pattern is 1.4 mm from the center. The screen is 80 cm from the slit of width 0.80 mm. Assuming monochromatic incident light calculate the wavelength of light.Correct answer is '5600'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The second order bright fringe in a single slit diffraction pattern is 1.4 mm from the center. The screen is 80 cm from the slit of width 0.80 mm. Assuming monochromatic incident light calculate the wavelength of light.Correct answer is '5600'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The second order bright fringe in a single slit diffraction pattern is 1.4 mm from the center. The screen is 80 cm from the slit of width 0.80 mm. Assuming monochromatic incident light calculate the wavelength of light.Correct answer is '5600'. Can you explain this answer?.
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