What is the de Broglie wavelength of an electron in the ground state of a hydrogen atom?
Answer:
λ = 332.5 pm
Explanation:
The formula for the de Broglie wavelength λ is
where
h = Planck’s constant
m = the mass of the electron
v = the speed of the electron.
Calculate the speed of the electron
The energy \(E\) of a hydrogen electron in an orbit is
\(E=-\frac{R_{\mathrm{H}}}{n^{2}}\)where
\(R_{\mathrm{H}}=\) the Rydberg energy constant \(\left(2.180 \times 10^{-18} \mathrm{~J}\right)\)