The wording of this question is confusing. "Judah" was the name of the country and after Judah was conquered by the Assyrians, it never asserted independence again under that name. "Israel" is also confusing because Israel was the kingdom to the North of Judah whose inhabitants stopped associating themselves with that State by the time of the Persian Empire.
If your question means to say "When were the Judeans allowed to return to Canaan following the Babylonian Exile?" the answer is the 520s-510s BCE.
King David was the king of Judah and Israel. The separation between the kingdoms was on the days of king David's grandson, king Rehoboam (son of king Solomon, who was the son of king David).
the capital city of Judah is Jerusalem. both were conquered by both Israel and Judah. Jerusalem.
Israel, comprising ten of the twelve Jewish tribes, was exiled 133 years before Judah was exiled.
David was from the tribe of Judah.
Kings of Ancient Israel and Judah.
Judah
yes, Israel is in the North and Judah is in the South.
Judah.
In Israel.
No. It was Judah's father Jacob whose name was changed to Israel.
Nowadays, Israel is not divided into two kingdoms, but thousands of years ago, Israel was split into two kingdoms called "Yehuda" and "Israel". Both kingdoms were Jewish and both had their own ledership, but only one kingdom, "Yehuda", was oficially ruling the land of Israel and Jerusalem
Judah was a kingdom that existed during the Iron Age. It was located in Asia in what is now Israel.
Israel had a border with Assyria. Judah had Israel as a buffer state to protect them from Assyria.
After Solomon's death, Israel split into the two kingdoms of Judah and Israel. Israel now had ten tribes and Judah had two.
Judah and Israel
Judah
The former kingdom of Judah is now part of modern Israel and partly in the Palestinian Territory. Judah was a small inland enclave surrounding the city of Jerusalem and quite separate from the kingdom of Israel to its north. Biblical tradition holds that in former times, Judah and Israel had formed a United Monarchy, also known as Israel, but noted archaeologists such as Israel Finkelstein say that this was never the case. Judah and Israel were always separate and had their own separate culture, pottery styles and even their own separate dialects of the Hebrew language.