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JEE Main 202127 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2021 · 27 July · Morning Shift · Physics · Atomic Physics

In Bohr's atomic model, the electron is assumed to revolve in a...

In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5A∘.0 . 5\overset{∘}{A} . If the speed of electron is 2.2×106ms−1.2 . 2 \times {10}^{6}m{s}^{- 1} . Then the current associated with the electron will be__________ ×10−2mA.\times {10}^{- 2}mA . [Take π\pi as \left\dfrac{22}{7}\right]

Correct answer

0

Step-by-step solution

Time taken to revolve in circular orbit is T=2πω=2\pirv=2×227×5×10−112.2×106=107×10−16sT = \dfrac{2\pi}{\omega} = \dfrac{2\pir}{v} = \dfrac{2 \times \dfrac{22}{7} \times 5 \times {10}^{- 11}}{2 . 2 \times {10}^{6}} = \dfrac{10}{7} \times {10}^{- 16}s

Now, current associated with the electron is I=eT=1.6×10−19107×10−16=1.12×10−3AI = \dfrac{e}{T} = \dfrac{1 . 6 \times {10}^{- 19}}{\dfrac{10}{7} \times {10}^{- 16}} = 1 . 12 \times {10}^{- 3}A
⇒I=1.12mA⇒ I = 1 . 12mA
Hence, the current is 112×102mA112 \times {10}^{2}mA.

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