Buckminsterfullerene is a form of carbon having nearly spherical molecules that are composed of 60 carbon atoms. The interior of a C₆₀ molecule is about 0.7 nm in diameter and is being considered as a container for various atoms and molecules. Suppose that buckminsterfullerene were used to transport molecular hydrogen. The cavity in a single molecule can be approximated as an empty cube with a side of 0.7 nm. If a hydrogen molecule is represented by a point mass, how much energy does a hydrogen molecule inside a C₆₀ molecule need to be excited from the lowest energy level to

(a) The second energy level;

(b) The third energy level?