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)

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