NEW DELHI—A helicopter carrying India’s military chief crashed Wednesday in southern Tamil Nadu state, killing 13 of the 14 people on board, a senior government official said. Chief of Defense Staff Bipin Rawat’s condition was not immediately announced. S.P. Amrith, a senior civil administrator of the area where the crash took place, said rescuers were able to save one male passenger, who was taken to a hospital for treatment. Amrith said the helicopter had a total of 14 people on board. Defense Minister Rajnath Singh was expected to make a statement soon to Parliament. Public broadcaster Prasar Bharati said the Mi-17V5 helicopter was on its way from an air force base to the army defense services college when it crashed near the town of Coonoor, a hill station in Tamil Nadu. The reason for the crash was not immediately known. Television images from the crash site showed plumes of smoke …