Chemistry - Atomic Structure Question with Solution | TestHub

ChemistryAtomic StructureBohr's Atomic ModelHard2 minQB

ChemistryHardsingle choice

A hypothetical Bohr atom has potential energy $U = - K e^{2} / (4 r^{4})$ . Select the correct option; symbols have their usual meanings.

Options:

Answer:

Solution:

L=mvr=nh/(2π). From U=-Ke²/(4r⁴), the inward force is Ke²/r⁵ and mv²=Ke²/r⁴. Combining with L gives r²=mKe²/L² and v=L²/(m^(3/2)e√K)=n²h²/(4π²m^(3/2)e√K), C. Also kinetic energy=-2U and total energy=+Ke²/(4r⁴), so the source's alternative signs and radius expressions do not apply.

Stream:JEESubject:ChemistryTopic:Atomic StructureSubtopic:Bohr's Atomic Model

⏱ 2mℹ️ Source: QB

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