The ratio of the radius of the $2^{nd}$ orbit of $H$ to the radius of the $3^{rd}$ orbit of $He^{+}$ is ......

  • A
    $4 : 3$
  • B
    $8 : 9$
  • C
    $5 : 6$
  • D
    $4 : 9$

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From the following energy levels of a hydrogen atom,the values of $E_{\infty}$ and $E_3$ in $J$ are,respectively: $E_{\infty} = \ldots \ldots \ldots$ $E_3 = \ldots \ldots \ldots$ Given: $E_2 = -0.545 \times 10^{-18} \ J$,$E_1 = -2.18 \times 10^{-18} \ J$.

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to $\frac{h^{2}}{xma_{0}^{2}}$. The value of $10x$ is ........ . ($a_{0}$ is radius of Bohr's orbit) (Nearest integer) [Given : $\pi=3.14$]

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