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Question: Answered & Verified by Expert
If hydrogen atom is its ground state absorbs, $10.2 \mathrm{eV}$ of energy. The orbital angularmomentum is increase by
PhysicsAtomic PhysicsVITEEEVITEEE 2012
Options:
  • A $1.05 \times 10^{-34} \mathrm{~J} / \mathrm{s}$
  • B $3.16 \times 10^{-34} \mathrm{~J} / \mathrm{s}$
  • C $2.11 \times 10^{-34} \mathrm{~J} / \mathrm{s}$
  • D $4.22 \times 10^{-34} \mathrm{~J} / \mathrm{s}$
Solution:
1479 Upvotes Verified Answer
The correct answer is: $1.05 \times 10^{-34} \mathrm{~J} / \mathrm{s}$
Electron goes to its first excited state $(\mathrm{n}=2)$ from ground state $(\mathrm{n}=1)$ after absorbing $10.2 \mathrm{eV}$ energy
$$
\begin{array}{l}
\therefore \text { Increase in momentum }=\frac{\mathrm{h}}{2 \pi} \\
=\frac{6.6 \times 10^{-34}}{6.28} \\
=1.05 \times 10^{-34} \mathrm{~J}-\mathrm{S}
\end{array}
$$

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