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Q.
The energy difference between the first two levels of hydrogen atom is 10.2eV. For another element of atomic number 10 and mass number 20, this will be
Bihar CECEBihar CECE 2010Atoms
Solution:
For hydrogen atom, energy difference
$\Delta E_{H}=R h c\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right)$
For other atoms,
$\Delta E'Z^{2} R h c\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right)=Z^{2} \Delta E_{H} $
$=(10)^{2} \times 10.2 $
$=1020\, eV$