1When using the Classical Molecular Dynamics method. one assumes that atomic nuclei behave as well-dened particles as opposed to waves. Let's test how reasonable this assumption is for Helium. For this problem. you may assume that the mass of a Helium atom is 6.l'i45*10'27r kg. (A) An atom at room temperature possesses roughly kBT = (1.38 * 1023 mzkgfsleSUUIQ Joules of kinetic energy. What velocity would a Helium atom have with this amount of kinetic energy? (B) Compute the de Broglie wavelength for Helium that possesses the kinetic energy described in (A). (C) Imagine that a container is lled with Helium atoms until the average spacing between Helium atoms is 3*10'7m. The temperature of the container aer being lled remains at 300K. Do you expect the Helium atoms to behave quantum mechanically in this container? (DJAssuming that the kinetic energy of a particle decreases as a function of temperature according to the expression provided in (A). how low would you need to lower the temperature such that Helium has a de Broglie wavelength larger than the average spacing between atoms in (C)