River Originating from Gangotri Glacier
The question asks to identify the river that originates from the famous Gangotri glacier, located near Gaumukh in the Uttarkashi district of India. The specific altitude mentioned is $3,900$ meters.
Understanding the Source of Major Rivers
India is home to several major rivers, each with its unique source. Let's examine the options provided:
- Chenab River: This is a major river in the Himalayas, formed by the confluence of the Chandra and Bhaga rivers, which rise in the higher Himalayas in Himachal Pradesh.
- Yamuna River: The Yamuna, a major tributary of the Ganges, originates from the Yamunotri glacier in the Garhwal Himalayas, Uttarakhand, at an altitude of about $6,387$ meters.
- Bhagirathi River: This river is known to originate from the Gangotri glacier at Gaumukh ($3,900$ m) in the Uttarkashi district of Uttarakhand. It is considered one of the principal headstreams of the Ganges.
- Son River: The Son River originates from the Amarkantak Plateau in Madhya Pradesh.
The Bhagirathi River's Specific Origin
Based on geographical facts, the river that precisely matches the description of rising from the Gangotri glacier near Gaumukh ($3,900$ m) in the Uttarkashi district is the Bhagirathi river.
The Bhagirathi river is a crucial river system in the Garhwal Himalayas. After its origin, it flows through various terrains before meeting the Alaknanda river at Devprayag to form the River Ganges (Ganga).
Key Facts:
- Origin Location: Gangotri glacier, Gaumukh
- District: Uttarkashi
- Altitude of Origin: Approximately $3,900$ meters
- River Name: Bhagirathi river
Therefore, the Bhagirathi river is the correct answer as its source is precisely identified as the Gangotri glacier near Gaumukh.