Chemistry - Atomic Structure Question with Solution | TestHub
ChemistryAtomic StructureSchrödinger's EquationEasy2 minQB
ChemistryEasysingle choice
Find the average electron-nucleus distance for hydrogen in its lowest-energy state.
Options:
Answer:
C
Solution:
Hydrogen 1s radial distribution is proportional to r²e^(-2r/a₀). The mean radius is the ratio of r³ and r² integrals, [3!/(2/a₀)^4]/[2!/(2/a₀)^3]=3a₀/2. With a₀=0.529 Å this is (3/2)×0.529 Å, C, distinct from the most probable radius a₀.
Stream:JEESubject:ChemistryTopic:Atomic StructureSubtopic:Schrödinger's Equation
⏱ 2mℹ️ Source: QB
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