There was no Persian Empire in 650 BCE. The Persian tribe was tributory to the Medes until after 550 BCE.
The Persian Empire did not come into being before 550 BCE. It's capital was then Susa.
The first empire was ruled by the Achaemenid dynasty 550-330 BCE, initially with the capital at Susa, then Persepolis.
From 550 BCE to 330 BCE.
550 BCE to 331 BCE
550 BCE.
550 BCE.
Alexander the Great took effective control of the Empire in 331 BCE, so by 330 BCE there was no Persian Empire to rule - it was the Macedonian Empire of Alexander.
It was brought into the Persian Empire in 525 BCE by king Cambyses 2.
The Persian Empire (also known as the Achaemenid Empire) existed 550 to 330 BCE.
ca. 550 BCE-336 BCE
He captured the Persian Empire 334-324 BCE.
Only the western portion of India - west from the Indus (todays Pakistan) - was part of the Persian Empire - from 522 BCE. The Persian Empire disintegrated after its occupation by Alexander the Great in 331 BCE.