The ground state energy of a $H$ atom is given as $-13.6 \, eV$. The energy of the second excited state will be .......... $eV$.

  • A
    $-6.8$
  • B
    $-3.4$
  • C
    $-1.51$
  • D
    $-4.3$

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The energy required (in $eV$) to excite an electron of $H$-atom from the ground state to the third excited state is

Supposing the energy (in arbitrary units) of the energy levels in the hydrogen atom is given as under:
Energy level $K$ $(n=1)$ $L$ $(n=2)$ $M$ $(n=3)$ $N$ $(n=4...n=\infty)$
Energy $-864 \ a.u.$ $-216 \ a.u.$ $-96 \ a.u.$ $0 \ a.u.$

The excitation energy needed to raise the electron from $M$ level to $n = \infty$ would be:

Light of frequency $1.6 \times 10^{16} \ Hz$ falling on a metal plate emits electrons that have double the kinetic energy compared to the kinetic energy of electrons emitted when light of frequency $1.0 \times 10^{16} \ Hz$ falls on the same plate. The threshold frequency $(v_0)$ of the metal in $Hz$ is:

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