# Quantum¶

Why Rutherford was wrong about the atom model?

Link to this: rutherford-atom

A Rutherford atom model is the combination of protons and electrons to give us a neutral nucleus.

Question 1: What is the energy of the electron if we confine it inside the nucleus? Consider only the kinetic energy due to uncertainty principle is enough to construct a contradiction.

Question 2: From the point of view of nuclear magnetic moment, the electron magnetic moment is way to large. Measurement tells us that nuclei usually have nuclear magnetic moment $$-3\mu_N$$ to $$10\mu_N$$ where $$\mu_N=e\hbar/2m_p$$ and $$m_p$$ is the mass of proton.

Hint: The magnetic moment is of the magnitude $$e\hbar/2m_x$$.