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A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm, the other is at:
- a)518 nm
- b)1035 nm
- c)325 nm
- d)743 nm
Correct answer is 'D'. Can you explain this answer?
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A gas absorbs a photon of 355 nm and emits at two wavelengths. If one ...
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A gas absorbs a photon of 355 nm and emits at two wavelengths. If one ...
Explanation:
- When a gas absorbs a photon, it gains energy and its electrons move to higher energy levels.
- When these electrons return to their original energy levels, they release the energy they gained in the form of photons.
- The energy of a photon is inversely proportional to its wavelength, so a higher energy photon has a shorter wavelength.
- In this problem, the gas absorbs a photon with a wavelength of 355 nm (shorter wavelength/higher energy) and emits at two wavelengths.
- One of the emissions is at 680 nm, which is a longer wavelength/lower energy than the absorbed photon.
- To find the other emission wavelength, we can use the fact that the energy gained by the gas is equal to the sum of the energies of the emitted photons.
- We can calculate the energy of the absorbed photon using the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is wavelength.
- Plugging in the values, we get E = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(355 x 10^-9 m) = 5.58 x 10^-19 J.
- The energy of the emitted photon at 680 nm can be calculated using the same equation, giving E = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(680 x 10^-9 m) = 2.92 x 10^-19 J.
- The energy of the second emitted photon is then the difference between the absorbed energy and the energy of the first emitted photon: E = 5.58 x 10^-19 J - 2.92 x 10^-19 J = 2.66 x 10^-19 J.
- To find the wavelength of this photon, we can rearrange the energy equation to λ = hc/E and plug in the values: λ = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(2.66 x 10^-19 J) = 743 nm.
- Therefore, the correct answer is option D, 743 nm.
- When a gas absorbs a photon, it gains energy and its electrons move to higher energy levels.
- When these electrons return to their original energy levels, they release the energy they gained in the form of photons.
- The energy of a photon is inversely proportional to its wavelength, so a higher energy photon has a shorter wavelength.
- In this problem, the gas absorbs a photon with a wavelength of 355 nm (shorter wavelength/higher energy) and emits at two wavelengths.
- One of the emissions is at 680 nm, which is a longer wavelength/lower energy than the absorbed photon.
- To find the other emission wavelength, we can use the fact that the energy gained by the gas is equal to the sum of the energies of the emitted photons.
- We can calculate the energy of the absorbed photon using the equation E = hc/λ, where E is energy, h is Planck's constant, c is the speed of light, and λ is wavelength.
- Plugging in the values, we get E = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(355 x 10^-9 m) = 5.58 x 10^-19 J.
- The energy of the emitted photon at 680 nm can be calculated using the same equation, giving E = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(680 x 10^-9 m) = 2.92 x 10^-19 J.
- The energy of the second emitted photon is then the difference between the absorbed energy and the energy of the first emitted photon: E = 5.58 x 10^-19 J - 2.92 x 10^-19 J = 2.66 x 10^-19 J.
- To find the wavelength of this photon, we can rearrange the energy equation to λ = hc/E and plug in the values: λ = (6.626 x 10^-34 J s)(3 x 10^8 m/s)/(2.66 x 10^-19 J) = 743 nm.
- Therefore, the correct answer is option D, 743 nm.
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A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm,the other is at:a)518 nmb)1035 nmc)325 nmd)743 nmCorrect answer is 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm,the other is at:a)518 nmb)1035 nmc)325 nmd)743 nmCorrect answer is 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm,the other is at:a)518 nmb)1035 nmc)325 nmd)743 nmCorrect answer is 'D'. Can you explain this answer?.
A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm,the other is at:a)518 nmb)1035 nmc)325 nmd)743 nmCorrect answer is 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm,the other is at:a)518 nmb)1035 nmc)325 nmd)743 nmCorrect answer is 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm,the other is at:a)518 nmb)1035 nmc)325 nmd)743 nmCorrect answer is 'D'. Can you explain this answer?.
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