The electrostatic force of attraction between the electron and the nucleus in a hydrogen atom is given by:

  • A
    $\frac{e^2}{r}$
  • B
    $\frac{e^2}{r^2}$
  • C
    $\frac{e^2}{2r^2}$
  • D
    $\frac{Ze^2}{r}$

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When an electron in a hydrogen spectrum transitions from the $7^{th}$ energy level to the $1^{st}$ energy level,what is the total number of spectral lines produced?

The energy of an electron in the first Bohr orbit of the hydrogen atom is $-13.6 \ eV$. Calculate the energy of an electron in the first Bohr orbit of $He^{+}$ in $eV$.

According to Bohr's theory,
$E_{n} = \text{Total energy}, K_{n} = \text{Kinetic energy}, V_{n} = \text{Potential energy}, r_{n} = \text{Radius of } n^{\text{th}} \text{ orbit}$
Match the following:
Column $I$ Column $II$
$A$. $V_{n} / K_{n} = ?$ $P$. $0$
$B$. If radius of $n^{\text{th}}$ orbit $\propto E_{n}^{x}, x = ?$ $Q$. $-1$
$C$. Angular momentum in lowest orbital $R$. $-2$
$D$. $1/r_{n} \propto Z^{y}, y = ?$ $S$. $1$

The radius of the first Bohr's orbit of the hydrogen atom is ............. $\mathring{A}$.

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