Karnataka's Ramya N (34th minute) stroked the first goal just before the half time to help her side take a 1-0 lead at half-time in the group B contest.
The second period saw Karnataka piercing in three goals in just eight minutes through Sushma C G (43rd), skipper Sandhya H P (47th) and Niha's (50th) at Chamundi Vihar Hockey Ground.
Bhopal's Puja Yadav scored the only goal in the 56th minute.
Second goal also came from a penalty corner strike by Ashmita Barla (33rd), and was followed by Sarojini Ekka's field goal in the 54th minute.
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In another Pool D match, Madhya Pradesh Hockey Academy hammered Delhi 5-0. For MPHA, Rakhi Prajapati (8th and 25th minute) and Anuja Singh (54th and 66th) slammed two goals each while Preeti Dubey scored in the 61st min.
Results of the day:
Pool B - Karnataka 4 Ramya N (34 min), Sushma C G (43 min), Sandhya H P (47 min) and Niha (50 min) Vs. Bhopal 1 Puja Yadav (56 min).
Pool D - Odisha 3 Ambika Toppo (9 min), Ashmita Barla (33 min) and Sarojini Ekka (54 min) Vs. Punjab 0.
Pool B - Madhya Pradesh Hockey Academy 5 Rakhi Prajapati (8 and 25 min), Anuja Singh (54 and 66 min) and Preeti Dubey (61 min) Vs. Delhi 0.
Pool D - Mumbai Hockey Association Ltd 7 Pranali Patil (3 and 60 min), Shaikh Ruqqaiya (52 and 66 min), Preeti Bhatia (32 min), Jemimah Rodrigues (41 min) and Akansha Singh (50 min) Vs. Bihar 0.