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  • In Bohr model of Hydrogen atom, the radius of the orbit, the speed of electron and total energy of electron is denoted by R, V and E respectively. The quantum number n is proportional to - &

In Bohr model of Hydrogen atom, the radius of the orbit, the speed of electron and total energy of electron is denoted by R, V and E respectively. The quantum number n is proportional to -
 

Option: 1

\mathrm{\frac{R}{V} }


Option: 2

\mathrm{E VR^2 }


Option: 3

\mathrm{RV}


Option: 4

\mathrm{\frac{V}{R}}


Answers (1)

best_answer

\begin{aligned} &\mathrm{Use,~ R \alpha n^2, v \alpha \frac{1}{n}, E \alpha \frac{1}{n^{2}}}\\ &\mathrm{Case~ I \quad \frac{R}{v} \rightarrow \frac{n^2}{\frac{1}{n}} \rightarrow n^3}\\ &\mathrm{Case ~II~ EVR \rightarrow \frac{1}{n^2} \times \frac{1}{n} \times n^2 \rightarrow \frac{1}{n}}\\ &\mathrm{Case~ III ~R \nu \rightarrow n^2 \times \frac{1}{n} \rightarrow n} \end{aligned}

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vishal kumar

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