In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 $\mathop A\limits^o$. If the speed of electron is 2.2 $\times$ 166 m/s, then the current associated with the electron will be _____________ $\times$ 10$-$2 mA. [Take $\pi$ as ${{22} \over 7}$]
Answer (integer)
112
Solution
$I = {e \over T} = {{e\omega } \over {2\pi }} = {{eV} \over {2\pi r}}$<br><br>$$I = {{1.6 \times {{10}^{ - 19}} \times 2.2 \times {{10}^6} \times 7} \over {2 \times 22 \times 0.5 \times {{10}^{ - 10}}}}$$<br><br>= 1.12 mA<br><br>= 112 $\times$ 10<sup>$-$2</sup> mA
About this question
Subject: Physics · Chapter: Atoms and Nuclei · Topic: Bohr's Model of Hydrogen Atom
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