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A filter is used to obtain nearly mnochromatic radiation from white light. If the bandwidth of filter is 8 nm and the mean wavelength is 800 nm. The coherence lenath and coherence time of the filtered liciht are respectively
- a)50μm; 260 fs
- b)80μm; 267 fs
- c)90μm; 280 fs
- d)100μm; 290 fs
Correct answer is option 'B'. Can you explain this answer?
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The coherence length and coherence time of the filtered light can be calculated using the formula:
Coherence Length = λ² / Δλ
Coherence Time = λ² / (c * Δλ)
where λ is the mean wavelength, Δλ is the bandwidth, and c is the speed of light.
Plugging in the given values:
Coherence Length = (800 nm)² / 8 nm = 80,000 nm = 80 μm
Coherence Time = (800 nm)² / (3 x 10^8 m/s * 8 nm) = 200 ns
So, the coherence length of the filtered light is 80 μm and the coherence time is 200 ns.
Coherence Length = λ² / Δλ
Coherence Time = λ² / (c * Δλ)
where λ is the mean wavelength, Δλ is the bandwidth, and c is the speed of light.
Plugging in the given values:
Coherence Length = (800 nm)² / 8 nm = 80,000 nm = 80 μm
Coherence Time = (800 nm)² / (3 x 10^8 m/s * 8 nm) = 200 ns
So, the coherence length of the filtered light is 80 μm and the coherence time is 200 ns.
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A filter is used to obtain nearly mnochromatic radiation from white light. If the bandwidth of filter is 8 nm and the mean wavelength is 800 nm. Thecoherence lenath and coherence time of the filtered liciht are respectivelya)50μm; 260 fsb)80μm; 267fsc)90μm; 280 fsd)100μm; 290 fsCorrect answer is option 'B'. Can you explain this answer?
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A filter is used to obtain nearly mnochromatic radiation from white light. If the bandwidth of filter is 8 nm and the mean wavelength is 800 nm. Thecoherence lenath and coherence time of the filtered liciht are respectivelya)50μm; 260 fsb)80μm; 267fsc)90μm; 280 fsd)100μm; 290 fsCorrect answer is option 'B'. 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 A filter is used to obtain nearly mnochromatic radiation from white light. If the bandwidth of filter is 8 nm and the mean wavelength is 800 nm. Thecoherence lenath and coherence time of the filtered liciht are respectivelya)50μm; 260 fsb)80μm; 267fsc)90μm; 280 fsd)100μm; 290 fsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A filter is used to obtain nearly mnochromatic radiation from white light. If the bandwidth of filter is 8 nm and the mean wavelength is 800 nm. Thecoherence lenath and coherence time of the filtered liciht are respectivelya)50μm; 260 fsb)80μm; 267fsc)90μm; 280 fsd)100μm; 290 fsCorrect answer is option 'B'. Can you explain this answer?.
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