Question 443: Atoms & Nuclei

Question

The ratio of the velocity of the electron in the first Bohr orbit to that in the second Bohr orbit of hydrogen atom is

Accepted Answer

Velocity of electron in the $$\mathrm{n}^{	ext {th }}$$ orbit $$\mathrm{V}_{\mathrm{n}}=\frac{\mathrm{Ze}^2}{2 \varepsilon_0 \mathrm{nh}}$$
$$\begin{array}{ll}
\Rightarrow & \mathrm{v}_{\mathrm{n}} \propto \frac{1}{\mathrm{n}} \
& 	ext { given } \mathrm{n}_1=1 	ext { and } \mathrm{n}_2=2, \
	herefore \quad & \frac{\mathrm{v}_1}{\mathrm{v}_2}=\frac{\mathrm{n}_2}{\mathrm{n}_1}=\frac{2}{1}
\end{array}$$

Answer

$$8: 1$$

Answer

$$2: 1$$

Answer

$$4: 1$$

Answer

$$1: 4$$

Atoms & Nuclei

The ratio of the velocity of the electron in the first Bohr orbit to that in the second Bohr orbit of hydrogen atom is

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