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Q.

In the Bohr model of the hydrogen atom, let $R$ , $v$ and $E$ represent the radius of the orbit, speed of the electron and the total energy of the electron respectively. Which of the following quantities are directly proportional to the quantum number $n$ ?

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a

$R E$

b

$v R$

c

$\frac{R}{E}$

d

$\frac{R}{v}$

answer is A.

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Detailed Solution

$R \propto n^{2}, v \propto n^{- 1}, E \propto n^{- 2} \Rightarrow v R \propto n$

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