A) Atomic number of H-like species is 2.
B) lonisation energy of H-like species is 122.4 eV.
C) Kinetic energy of electron in 1st orbit is 50.4 eV.
D) Energy of third orbit is \[-13.6\,\,eV.\]
Correct Answer: A
Solution :
| \[{{E}_{2}}-{{E}_{1}}=\Delta \,E\] |
| \[40.8=13.6{{Z}^{2}}\,\,\left( \frac{1}{1}-\frac{1}{4} \right)=13.6\times \frac{3}{4}{{Z}^{2}}\] |
| \[{{Z}^{2}}=4\]\[\Rightarrow \]\[Z=2\] |
| \[lE=13.6{{Z}^{2}}=13.6\times {{2}^{2}}=54.4\,ev\] |
| \[K{{E}_{1}}=13.6{{Z}^{2}}=13.6\times {{2}^{2}}=54.4\,ev\] |
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