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Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)?
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Suppose the potential energy between electron and proton at a distance...
Energy in nth orbit
- According to Bohr's theory, the energy of an electron in the nth orbit of a hydrogen atom is given by Eₙ = -ke²/2rₙ, where rₙ is the radius of the nth orbit.
- Given that the potential energy between an electron and a proton at a distance r is -ke²/3r³, we can determine the radius of the nth orbit as rₙ = n²r, where n is the principal quantum number.
Energy dependency on n
- Substituting rₙ into the expression for energy in the nth orbit, we get Eₙ = -ke²/2(n²r) = -ke²/2nr.
- This shows that the energy in the nth orbit is inversely proportional to n, i.e., Eₙ ∝ 1/n.
Comparing with given options
- Option A) states that the energy in the nth orbit is proportional to n⁶, which is not correct based on the derived expression.
- Option B) states that the energy is proportional to m ^-3, which is not relevant to the energy expression derived.
- Option C) states that the energy of the nth orbit is proportional to n^-2, which is consistent with the expression Eₙ ∝ 1/n.
- Option D) states that the energy is proportional to m³, which is also not relevant to the energy expression derived.
Conclusion
- Therefore, the correct statement based on Bohr's theory and the given potential energy expression is that the energy of the nth orbit is proportional to n^-2.
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Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)?
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Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)?.
Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)?.
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Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)?, a detailed solution for Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)? has been provided alongside types of Suppose the potential energy between electron and proton at a distance r is given by -ke²/3r³. Application of bhors theory to hydrogen atom in this case shows that. A) Energy in nth orbit is proportional to n⁶ B) energy is proportional to m ^-3 C) energy of nth orbit is proportional to n^-2 D) energy is proportional to m³ (Multicorrect)? theory, EduRev gives you an
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