Question 453: Atoms & Nuclei

Question

In hydrogen atom, if $\mathrm{V}_{\mathrm{n}}$ and $\mathrm{V}_{\mathrm{p}}$ are orbital velocities in $\mathrm{n}^{	ext {th }}$ and $\mathrm{p}^{	ext {th }}$ orbit respectively, then the ratio $\mathrm{V}_{\mathrm{p}}: \mathrm{V}_{\mathrm{n}}$ is

Accepted Answer

Velocity of electron in $\mathrm{n}^{	ext {th }}$ orbit of hydrogen atom, $\mathrm{V}_{\mathrm{n}}=\frac{\mathrm{e}^2}{2 \varepsilon_0 \mathrm{hn}}$
$$\begin{aligned}
& 	herefore \quad \mathrm{V}_{\mathrm{n}} \propto \frac{1}{\mathrm{n}} \
& 	herefore \quad \frac{\mathrm{~V}_{\mathrm{p}}}{\mathrm{~V}_{\mathrm{n}}}=\frac{\mathrm{n}}{\mathrm{p}}
\end{aligned}$$

Answer

$\mathrm{p}: \mathrm{n}$

Answer

$\mathrm{n}: \mathrm{p}$

Answer

$\mathrm{p}^2: \mathrm{n}^2$

Answer

$\mathrm{n}^2: \mathrm{p}^2$

Atoms & Nuclei

In hydrogen atom, if \mathrm{V}_{\mathrm{n}} and \mathrm{V}_{\mathrm{p}} are orbital velocities in \mathrm{n}^{\text {th }} and \mathrm{p}^{\text {th }} orbit respectively, then the ratio \mathrm{V}_{\mathrm{p}}: \mathrm{V}_{\mathrm{n}} is

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