Question 449: Atoms & Nuclei

Question

In the Bohr model of hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If ' $r_0$ ' is the radius of the ground state orbit, ' $m$ ' is the mass, ' e ' is the charge on the electron and ' $\varepsilon_0$ ' is the permittivity of vacuum, the speed of the electron is

Accepted Answer

Given, Centripetal Force $=$ Coulomb attraction
$\frac{\mathrm{mv}^2}{\mathrm{r}_0}=\frac{1}{4 \pi \varepsilon_0} \frac{\mathrm{e}^2}{\mathrm{r}_0^2}$
$$	herefore \quad v=\frac{e}{\sqrt{4 \pi \varepsilon_0 r_0 \mathrm{~m}}}$$

Answer

zero

Answer

$\frac{\mathrm{e}}{\sqrt{\varepsilon_0 \mathrm{r}_0 \mathrm{~m}}}$

Answer

$\frac{\mathrm{e}}{\sqrt{4 \pi \varepsilon_0 \mathrm{r}_0 \mathrm{~m}}}$

Answer

$\frac{\sqrt{4 \pi \varepsilon_0 \mathrm{r}_0 \mathrm{~m}}}{\mathrm{e}}$

Atoms & Nuclei

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