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stunner5000pt

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A hydrogen atom (with Bohr radius of half an angstrom) is situated between 2 metal places 1 mm apart which are connected topoosite terminals of a 500 V battery.

For the first part the radius is [itex] 5 \times 10^{-11} m[/tex]

the distance between the plates is 0.001 m

divide [itex] 5 \times 10^{-11} m/ 0.001 m = 5 \times 10^{-8} [/itex]

so far so good, right?

for the second part... since the atom is polarized it has a tiny dipole moment [itex] \vec{p} = \alpha \vec{E} [/itex]

[tex] p = qd = \alpha \frac{V}{d} [/tex]

so [tex] V = \frac{ q d^2}{\alpha} [/tex]

is that correct??

thank you for your input!

**What fraction of the atomic radius does the separation distance d amount to, roughly?**

Estimate the voltage you need with this appartus to ionize the atomEstimate the voltage you need with this appartus to ionize the atom

For the first part the radius is [itex] 5 \times 10^{-11} m[/tex]

the distance between the plates is 0.001 m

divide [itex] 5 \times 10^{-11} m/ 0.001 m = 5 \times 10^{-8} [/itex]

so far so good, right?

for the second part... since the atom is polarized it has a tiny dipole moment [itex] \vec{p} = \alpha \vec{E} [/itex]

[tex] p = qd = \alpha \frac{V}{d} [/tex]

so [tex] V = \frac{ q d^2}{\alpha} [/tex]

is that correct??

thank you for your input!

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