The Bohr's energy equation for $\mathrm{H}$ atom reveals that the energy level of a shell is given by…

The Bohr's energy equation for $\mathrm{H}$ atom reveals that the energy level of a shell is given by $\mathrm{E}=-13.58 / \mathrm{n}^{2} \mathrm{eV}$. The smallest amount that an $\mathrm{H}$ atom will absorb if in ground state is
  1. $1.0 \mathrm{eV}$
  2. $3.39 \mathrm{eV}$
  3. $6.79 \mathrm{eV}$
  4. $10.19 \mathrm{eV}$

Solution

The smallest value of energy of an electron in $\mathrm{H}$ atom in ground state can absorb is $=\mathrm{E}_{2}-\mathrm{E}_{1}$
$=\frac{-13.58}{4}-\left(\frac{-13.58}{1}ight)=10.19$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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