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Suppose potential energy between particle A and B at separation r is given by U = k ln r, where k is constant. For such hypothetical system, find the ratio of energy difference between energy
levels (n = 1 and n = 2) and (n = 2 and n = 4) (The energy of a particle in nth level is –13.6/n2)
Correct answer is '1'. Can you explain this answer?
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Suppose potential energy between particle A and B at separation r is g...
Energy Levels and Energy Difference Calculation
- Given potential energy: U = k ln r
- Energy of a particle in nth level: En = 13.6/n^2

Energy Difference between n=1 and n=2
- Energy at n=1: E1 = 13.6/1^2 = 13.6
- Energy at n=2: E2 = 13.6/2^2 = 3.4
- Energy difference: ΔE(1-2) = E2 - E1 = 3.4 - 13.6 = -10.2

Energy Difference between n=2 and n=4
- Energy at n=2: E2 = 13.6/2^2 = 3.4
- Energy at n=4: E4 = 13.6/4^2 = 0.85
- Energy difference: ΔE(2-4) = E4 - E2 = 0.85 - 3.4 = -2.55

Ratio of Energy Differences
- Ratio = ΔE(1-2) / ΔE(2-4)
- Ratio = (-10.2) / (-2.55) = 4
Therefore, the ratio of energy difference between energy levels (n=1 and n=2) and (n=2 and n=4) is 4.
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Suppose potential energy between particle A and B at separation r is given by U = k ln r, where k is constant. For such hypothetical system, find the ratio of energy difference between energylevels (n = 1 and n = 2) and (n = 2 and n = 4) (The energy of a particle in nth level is 13.6/n2)Correct answer is '1'. Can you explain this answer?
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Suppose potential energy between particle A and B at separation r is given by U = k ln r, where k is constant. For such hypothetical system, find the ratio of energy difference between energylevels (n = 1 and n = 2) and (n = 2 and n = 4) (The energy of a particle in nth level is 13.6/n2)Correct answer is '1'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Suppose potential energy between particle A and B at separation r is given by U = k ln r, where k is constant. For such hypothetical system, find the ratio of energy difference between energylevels (n = 1 and n = 2) and (n = 2 and n = 4) (The energy of a particle in nth level is 13.6/n2)Correct answer is '1'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose potential energy between particle A and B at separation r is given by U = k ln r, where k is constant. For such hypothetical system, find the ratio of energy difference between energylevels (n = 1 and n = 2) and (n = 2 and n = 4) (The energy of a particle in nth level is 13.6/n2)Correct answer is '1'. Can you explain this answer?.
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