MCQ
The ratio of the energy of the electrons in ground state of hydrogen to the electrons in first excited state of $Be^{3+}$ is :
  • $1:4$
  • B
    $1:8$
  • C
    $1:16$
  • D
    $16:1$

Answer

Correct option: A.
$1:4$
a
Formula,

$E=E_{0} \frac{z^{2}}{n^{2}}$

hydrogen,

$E=E_{0} \frac{z^{2}}{n^{2}}=E_{0} \frac{1^{2}}{1^{2}}$

$E=E_{0}$

$B e^{3+}$

$E=E_{0} \frac{z^{2}}{n^{2}}=E_{0} \frac{4^{2}}{2^{2}}$

$E=4 E_{0}$

Ratio $=\frac{E_{0}}{4 E_{0}}$

1: 4

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