Home /
Expert Answers /
Physics /
a-hydrogen-atom-with-the-bohr-radius-of-half-an-angstrom-is-situated-between-two-metal-plates-1-mm-pa868
(Solved): A hydrogen atom (with the Bohr radius of half an angstrom) is situated between two metal plates 1 mm ...
A hydrogen atom (with the Bohr radius of half an angstrom) is situated between two metal plates 1 mm apart, which are connected to opposite terminals of a 500 V battery. What fraction of the atomic radius does the separation distanced amount to, roughly? Estimate the voltage you would need with this apparatus to ionize the atom. [Use the value of a in Table 4.1. Moral: The displacements we're talking about are minute, even on an atomic scale.]
Table 4.1 Atomic Polarizabilities \( \left(\alpha / 4 \pi \epsilon_{0}\right. \), in units of \( \left.10^{-30} \mathrm{~m}^{3}\right) \). Source: Handbook of Chemistry and Physics, 78th ed. (Boca Raton: CRC Press, Inc., 1997).
Expert Answer
V/x=500/10^?3 =5×105. ?/4??0=0.66×10^?30