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According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?
- a)4
- b)6
- c)8
- d)12
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
According to the Bohr model, electrons of quantum number n = 4 in exci...
Bohr Model and Transition of Electrons
The Bohr model of an atom explains that electrons revolve around the nucleus in quantized energy levels or orbits, and each orbit has a specific energy level. When an electron absorbs energy, it jumps from a lower energy level to a higher energy level, and when it returns to a lower energy level, it releases the excess energy in the form of a photon. This process is called a transition.
Possible Discrete Frequencies
In the case of hydrogen atoms with an excited electron in the n = 4 energy level, the electron can transition to lower energy levels in different ways. The possible energy levels for the electron to transition to are n = 3, n = 2, and n = 1. Therefore, the electron can undergo three different types of transitions, which will result in the emission of photons with different frequencies.
The formula for calculating the frequency of a photon emitted during a transition is given by:
ΔE = hf
where ΔE is the energy difference between the two energy levels, h is Planck's constant, and f is the frequency of the emitted photon.
Using this formula, we can calculate the frequency of the photons emitted during each possible transition:
- Transition from n = 4 to n = 3: ΔE = 1.89 eV, f = 4.56 x 10^14 Hz
- Transition from n = 4 to n = 2: ΔE = 4.86 eV, f = 1.17 x 10^15 Hz
- Transition from n = 4 to n = 1: ΔE = 12.09 eV, f = 2.92 x 10^15 Hz
Therefore, there are six possible discrete frequencies of photons that can be emitted during the transitions of the excited electron in a hydrogen atom with n = 4 energy level.
Conclusion
In summary, the Bohr model of an atom explains the quantized energy levels of electrons and how they transition between these levels by releasing photons with discrete frequencies. In the case of an excited hydrogen atom with an electron in the n = 4 energy level, there are six possible frequencies of photons that can be emitted during its transition to lower energy levels.
The Bohr model of an atom explains that electrons revolve around the nucleus in quantized energy levels or orbits, and each orbit has a specific energy level. When an electron absorbs energy, it jumps from a lower energy level to a higher energy level, and when it returns to a lower energy level, it releases the excess energy in the form of a photon. This process is called a transition.
Possible Discrete Frequencies
In the case of hydrogen atoms with an excited electron in the n = 4 energy level, the electron can transition to lower energy levels in different ways. The possible energy levels for the electron to transition to are n = 3, n = 2, and n = 1. Therefore, the electron can undergo three different types of transitions, which will result in the emission of photons with different frequencies.
The formula for calculating the frequency of a photon emitted during a transition is given by:
ΔE = hf
where ΔE is the energy difference between the two energy levels, h is Planck's constant, and f is the frequency of the emitted photon.
Using this formula, we can calculate the frequency of the photons emitted during each possible transition:
- Transition from n = 4 to n = 3: ΔE = 1.89 eV, f = 4.56 x 10^14 Hz
- Transition from n = 4 to n = 2: ΔE = 4.86 eV, f = 1.17 x 10^15 Hz
- Transition from n = 4 to n = 1: ΔE = 12.09 eV, f = 2.92 x 10^15 Hz
Therefore, there are six possible discrete frequencies of photons that can be emitted during the transitions of the excited electron in a hydrogen atom with n = 4 energy level.
Conclusion
In summary, the Bohr model of an atom explains the quantized energy levels of electrons and how they transition between these levels by releasing photons with discrete frequencies. In the case of an excited hydrogen atom with an electron in the n = 4 energy level, there are six possible frequencies of photons that can be emitted during its transition to lower energy levels.
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According to the Bohr model, electrons of quantum number n = 4 in exci...
The answer is 6(b)U can use the formula for calculating the number of spectral lines thereby frequency: n(n-1)/2
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According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer?.
According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer?.
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According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer?, a detailed solution for According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of According to the Bohr model, electrons of quantum number n = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?a)4b)6c)8d)12Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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