(a)[1]
State how many protons and how many neutrons are present in the nucleus of bismuth-212.
(b)[3]
The $\gamma$-radiation released from the nucleus has a wavelength of $3.8\,\text{pm}$. Calculate the frequency of this radiation.
(c)[2]
Explain how one beam containing $\alpha$-particles and $\gamma$-radiation may be split into a beam of $\alpha$-particles and a beam of $\gamma$-radiation.
(d)[2]
The $\alpha$-particle emitted from the bismuth nucleus has an initial kinetic energy of $9.3 \times 10^{-13}\,\text{J}$. While the $\alpha$-particle travels through air, it removes electrons from atoms. It loses energy and comes to rest after removing $1.8 \times 10^{5}$ electrons as it moves through the air. Determine the energy, in eV, needed to remove one electron.