Which name appears in Achaemenid Persian records for the land associated with the Indus region?

The correct option is Hindu.

Step-by-Step Explanation:

1. Etymological and Historical Context:
The term Hindu is derived from the Sanskrit word Sindhu, which is the historical name of the Indus River. In the Old Persian language spoken during the Achaemenid Empire (c. 550–330 BCE), the initial consonant sound "S" in Sanskrit words shifted to an "H" sound. Consequently, the river and the region surrounding it, known as Sindhu, became Hiⁿdush or Hindu in Persian.

2. Evidence in Achaemenid Records:
The name Hiⁿdush (Hindu) appears prominently in the cuneiform royal inscriptions of the Achaemenid King Darius I (such as those at Persepolis and Naqsh-e Rustam), listing it as an administrative province (satrapy) of the Achaemenid Empire in the Indus region.

3. Evaluation of Other Options:
• Meluhha: This was the name used in ancient Mesopotamian (Sumerian and Akkadian) records to refer to the Indus Valley region during the Bronze Age.
• Tianzhu: This was the ancient Chinese geographical name for India.
• Aryavarta: This is an ancient Sanskrit term meaning "Land of the Aryans," used in classical Indian texts to refer to the northern subcontinent.

Hence, the correct name recorded by the Achaemenid Persians for the Indus region is Hindu.