$[2$p$]$ Consider the three particles listed below and calculate their wavelength associated with the wave

motion of each.

a$.[1]$ a helium atom with a kinetic energy of $0\mathrm{.}025eV$; a baseball $(500g)$ moving at $49\frac{m}{s}.$; a pBR$322$

DNA $($clearly state the molecular weight you will be using!$)$ flying in a mass spectrometer chamber with a

velocity of $5\frac{m}{s}.$

b$.[1]$ Interpret your result by answering the question: How do these results compare with the size of an

atom $)$ and the diameter of a nucleus $(1{10}^{-5})?$

Note: part a is found in some GenChem text books $...$ de Broglie relation applied $...$