In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 A ∘ . If the speed of electron is 2.2 × 1 0 6 m s − 1 . Then the current associated with the electron

Question

In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 A ∘ . If the speed of electron is 2.2 × 1 0 6 m s − 1 . Then the current associated with the electron will be__________ × 1 0 − 2 mA . [Take π as ( 7 22 ​ ]

TestHub · Accepted Answer

Time taken to revolve in circular orbit is $T = \frac{2 π}{ω} = \frac{2 π r}{v} = \frac{2 \times \frac{22}{7} \times 5 \times 1 0 ^{- 11}}{2.2 \times 1 0 ^{6}} = \frac{10}{7} \times 1 0^{- 16} s$

Now, current associated with the electron is $I = \frac{e}{T} = \frac{1.6 \times 1 0 ^{- 19}}{\frac{10}{7} \times 1 0 ^{- 16}} = 1.12 \times 1 0^{- 3} A$
$\Rightarrow I = 1.12 mA$
Hence, the current is $112 \times 1 0^{2} mA$ .

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