IIT Dhanbad is one of the oldest institutions to offer a degree program in Mining. The program is nearly 90 years old and has the most experienced faculty members. IIT Bhilai on the other hand is a fairly new institute.

Here is a brief overview of the two branches mentioned in the question.

Advantages - Mining IIT Dhanbad:

• IIT Dhanbad offers a well-developed campus and social life as compared to IIT Bhilai.
• The department conducts multiple seminars, workshops, international internships, and foreign clubs as part of the degree program.
• You will get to learn from the best faculty of Mining at IIT Dhanbad.
• In IIT Dhanbad there are more opportunities for extracurricular activities and scope of personal development.

Placements: (Winning Institution - IIT Dhanbad)

The Mining branch has a great placement record at IIT Dhanbad. 

• The placement rate in recent years for the branch is around 90%.
• The highest CTC offered for Mining at the institute is around 25 LPA. 
• Some of the top recruiters in the mining department are Coal India Limited (CIL) and Tata Steel.

Therefore, based on the given institutions IIT Dhanbad for Mining is the better alternative.