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Standard XII

Physics

Characteristics of Bohr's Atomic Model

In Bohr's mod...

Question

In Bohr's model of the hydrogen atom, let $R, V, T$ and $E$ represent the radius of the orbit, speed of the electron, time period of revolution of electron and the total energy of the electron respectively. The quantity proportional to the quantum number n is

V R

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r

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T

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Solution

The correct option is A $V R$
$R \propto n^{2}$
$V \propto \frac{1}{n}$

So, $V R$ is $\propto n$
$T \propto n^{3} \Rightarrow E \propto \frac{1}{n^{2}}$

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In Bohr's model of the hydrogen atom, let R,V,T and E represent the radius of the orbit, speed of the electron, time period of revolution of electron and the total energy of the electron respectively. The quantity proportional to the quantum number n is

The correct option is A VRR∝n2V∝1n So, VR is ∝n T∝n3⇒E∝1n2

In Bohr's model of the hydrogen atom, let $R, V, T$ and $E$ represent the radius of the orbit, speed of the electron, time period of revolution of electron and the total energy of the electron respectively. The quantity proportional to the quantum number n is

The correct option is A $V R$
$R \propto n^{2}$
$V \propto \frac{1}{n}$

So, $V R$ is $\propto n$
$T \propto n^{3} \Rightarrow E \propto \frac{1}{n^{2}}$