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Chemistry - Atomic Structure Question with Solution | TestHub

ChemistryAtomic StructureBohr's Atomic ModelMedium2 minQB

ChemistryMediumsingle choice

Passage / Comprehension

Consider the Bohr’s model of a one-electron atom where the electron moves around the nucleus. In the following list-I contains some quantities for the n^th orbit of the atom and list-II contains options showing how they depend on n.

which of the following has the correct combination considering List-I and List-II ?

Question diagram: which of the following has the correct combination consideri

Options:

Answer:

Solution:

$r_{n} = 0.529 (\frac{n ^{2}}{Z}) A \Rightarrow r_{n} \propto n^{2}$

Angular momentum (1) $= (\frac{nh}{2 π}) \Rightarrow 1 \propto n^{1}$

K.E. $= \frac{1}{2} mv^{2} = \frac{1}{2} m [2.18 \times 1 0^{6} \frac{Z}{n}]^{2}$

$\Rightarrow K . E . \propto \frac{Z ^{2}}{n ^{2}} \Rightarrow K . E . \propto n^{- 2}$

P.E. $= - 2 K . E . \Rightarrow$ P.E. $\propto \frac{Z ^{2}}{n ^{2}}$

⇒ P.E. $\propto n^{- 2}$

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

⏱ 2mℹ️ Source: QB

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