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 × 106 m/s, then the current associated with the electron will be _____________ × 10 - 2 mA. [Take π as 22/7 ] Numerical answer type. Work it out, then open the answer.

Answer: 112. I = e/T = (ev)/(2π r) I = 1.6×10⁻¹⁹×2.2×10⁶2×22/7×0.5×10⁻¹⁰ = 3.52×10⁻¹³3.143×10⁻¹⁰ I = 1.12×10⁻³ A = 1.12 mA = 112×10⁻² mA So the answer is 112.

In Bohr's atomic model, the electron is assumed to revolve in a… | JEE Main 2021 (27 Jul, Shift 1)

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Bohr Model: Orbits, Speed & Angular Momentum

In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 $\mathring{A}$ . If the speed of electron is 2.2 $\times$ 106 m/s, then the current associated with the electron will be _____________ $\times$ 10 $-$ 2 mA. [Take $\pi$ as $\frac{22}{7}$ ]

Numerical answer type. Work it out, then open the answer.

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Answer: 112

$I = \frac{e}{T} = \frac{ev}{2\pi r}$
$I = \frac{1.6\times10^{-19}\times2.2\times10^6}{2\times\frac{22}{7}\times0.5\times10^{-10}} = \frac{3.52\times10^{-13}}{3.143\times10^{-10}}$
$I = 1.12\times10^{-3}\text{ A} = 1.12\text{ mA} = 112\times10^{-2}\text{ mA}$
So the answer is 112.

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