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Question

Physics Question on Atoms

The energy of an electron in excited hydrogen atom is −3.4 eV-3.4\,eV . Then according to Bohrs theory, the angular momentum of the electron is

A

2.1×10−34J−s2.1\times 10^{-34}J-s

B

3×10−34J−s3\times 10^{-34}J-s

C

2×10−34J−s2\times 10^{-34}J-s

D

0.5×10−34J−s0.5\times 10^{-34}J-s

Answer

2.1×10−34J−s2.1\times 10^{-34}J-s

Explanation

Solution

−3.4=−13.6n2⇒n=2-3.4=-\frac{13.6}{n^{2}} \Rightarrow n=2 ∴L=2×6.6×10−342×3.14\therefore L=\frac{2 \times 6.6 \times 10^{-34}}{2 \times 3.14} =2.1×10−34J−s=2.1 \times 10^{-34} J - s