JERUSALEM — Tensions between Israel and Iran rose sharply on Monday when bombers struck at Israeli Embassy personnel in the capitals of India and Georgia. Israel accused the Tehran government of being behind the attacks, which Iran denied.

The wife of an Israeli defense envoy to New Delhi was hurt along with several other people when her car was destroyed by an explosive device placed on it by a motorcyclist at a red light. In Tbilisi, the Georgian capital, a similar device was discovered on the car of a local staff member of the Israeli Embassy, but was defused by the police.

Both resembled attacks that have killed five of Iran’s nuclear scientists in recent years, most recently last month. Iran has attributed the assassinations to Israeli agents and has vowed to take revenge. The scientists’ assassinations — along with sabotage of Iran’s nuclear program through cyberwarfare and faulty parts — are aimed at delaying what the West believes is Iran’s drive to build a nuclear weapon.

If actually carried out by Iran, the attacks would be another indication that the leadership in Tehran was willing to reach beyond its borders against its enemies and expand its attacks to civilians. The United States has charged that Iran was behind a plot to assassinate a Saudi ambassador on American soil, and Israel has said that Iran has planned to attack its citizens in various countries, but that those plots were stopped.