The correct answer is C. J. J. Thompson.
J. J. Thompson was an English physicist who is best known for his discovery of the electron in 1897. He was also the first person to determine the charge-to-mass ratio of the electron.
A. J. Kepler was a German astronomer who is best known for his laws of planetary motion. He did not discover the electron.
B. D. Rutherford was a New Zealand physicist who is best known for his discovery of the atomic nucleus. He did not discover the electron.
D. James Chadwick was an English physicist who is best known for his discovery of the neutron. He did not discover the electron.