Step 1: Understand the question.
We need the institution whose astronomers first found the origin of a Coronal Mass Ejection (CME) shock.
Step 2: Identify it.
The Indian Institute of Astrophysics (IIA) made this discovery.
Step 3: Why IIA.
The IIA, under the Department of Science and Technology, specialises in solar physics. Using coronagraph and observatory data, its team mapped where the shock wave first forms.
Step 4: Rule out others.
VSSC focuses on launch vehicles and TIFR on broad physics, but the leading solar observational centre here is the IIA.
Step 5: Conclude.
The institution is the Indian Institute of Astrophysics.
Answer: Indian Institute of Astrophysics