On the very first day of college, a science professor was found murdered. The police had 4 suspects: The Physics professor, the football coach, the peon, and the principal. Police asked them about their whereabouts and, their replies were like this,The Physics professor said, “He was correcting mid-year test papers.”; The football coach said, “He was on the ground playing the game.”; The peon said, “He was serving tea.”; The principal said, “He was in his office.” The police found out who was lying and caught him. How?