In Bohr theory of hydrogen atom, let r, v and E be the radius of orbit, speed of electron and the total energy of the electron respectively. Which of the following quantities is proportional to the quantum number n ?

Question

In Bohr theory of hydrogen atom, let r, v and E be the radius of orbit, speed of electron and the total energy of the electron respectively. Which of the following quantities is proportional to the quantum number n ? (A) v r (B) r E (C) (r/E) (D) (r/v)

Tardigrade Admin · Accepted Answer

According to Bohr theory of hydrogen atom, r propto n2 v propto (1/n) E propto (1/n2) ∴ v r propto n

Q. In Bohr theory of hydrogen atom, let $r, v$ and $E$ be the radius of orbit, speed of electron and the total energy of the electron respectively. Which of the following quantities is proportional to the quantum number $n ?$

$v r$

$r E$

$\frac{r}{E}$

$\frac{r}{v}$

According to Bohr theory of hydrogen atom, $r \propto n^{2}$
$v \propto \frac{1}{n}$
$E \propto \frac{1}{n ^{2}}$
$∴ v r \propto n$

Q. In Bohr theory of hydrogen atom, let r,v and E be the radius of orbit, speed of electron and the total energy of the electron respectively. Which of the following quantities is proportional to the quantum number n?

vr

rE

Er​

vr​