Answer to Question #114042 in Physics for daniel

Question

a) Find the wavelength of the spectral line corresponding to the transition in hydrogen from then=6 state to then=3 state.
b.) Find the wavelength of the photon emitted when a hydrogen atom goes from the n=10 state to its ground state.
c) How much energy is required to remove an electron in the n-state from a hydrogen atom?
T.

Answer 1

a)

$\frac{hc}{\lambda}=-13.6\left(\frac{1}{6^2}-\frac{1}{3^2}\right)$

$\frac{4.136\cdot10^{-15}}{\lambda}=-13.6\left(\frac{1}{6^2}-\frac{1}{3^2}\right)$

$\lambda=3.65\cdot10^{-15}\ m$

b)

$\frac{hc}{\lambda}=-13.6\left(\frac{1}{10^2}-\frac{1}{1^2}\right)$

$\frac{4.136\cdot10^{-15}}{\lambda}=-13.6\left(\frac{1}{10^2}-\frac{1}{1^2}\right)$

$\lambda=3.07 \cdot10^{-16}\ m$

c)

$E=\frac{13.6}{n^2}\ eV$