In the mid 1960s, the Stanford Linear Accelerator was the first to attain the ability to accelerate electrons to a kinetic energy of 20 GeV (giga-electron-volts). A series of experiments involved directing the beam of electrons at protons. By examining the angular distribution of the electrons after the interaction, it was discovered that protons are not fundamental particles, but instead are made of smaller point like entities, later named quarks. 

(a) What is the approximate diameter of the smallest object this beam of electrons could be used to detect? 

(b) What is the ratio of the size of a proton (diameter about 2 3x10^-15 m) to this smallest detectable diameter? Consider the de Broglie wavelength.