Solution:(III) Discovery of electron: The electron was the first subatomic particle to be discovered. J.J. Thomson is credited with its discovery in 1897 through his experiments with cathode rays.
(IV) Discovery of proton: Ernest Rutherford is credited with the discovery of the proton around 1911-1919. His gold foil experiment provided evidence for a positively charged nucleus containing protons.
(II) Discovery of neutron: James Chadwick discovered the neutron in 1932. The existence of a neutral particle within the nucleus was needed to explain the mass discrepancy between the atomic number and the atomic weight.
(I) Discovery of pi meson: Hideki Yukawa predicted the existence of mesons in 1935 as particles that mediate the strong nuclear force. The pi meson (pion) was experimentally discovered in 1947 by Cecil Powell, César Lattes, and Giuseppe Occhialini.
Therefore, the correct chronological order is III, IV, II, I.