To determine which reaction is NOT a redox reaction, we must understand what constitutes a redox reaction. In a redox (reduction-oxidation) reaction, there is a transfer of electrons between species, leading to changes in their oxidation states. We'll analyze each option to check the oxidation state changes:
Zn + CuSO4 → ZnSO4 + Cu
Zinc (Zn) is oxidized from 0 to +2 and copper (Cu) is reduced from +2 to 0. This is a redox reaction.
2KClO3 + I2 → 2KIO3 + Cl2
Chlorine changes from +5 in KClO3 to 0 in Cl2 (reduction), and iodine changes from 0 to +5 in KIO3 (oxidation). This is a redox reaction.
H2 + Cl2 → 2HCl
Hydrogen changes from 0 to +1, and chlorine changes from 0 to -1. This is a redox reaction.
BaCl2 + Na2SO4 → BaSO4 + 2NaCl
No change in oxidation states for barium, sodium, or chloride as both sides have the same oxidation numbers. This is a double displacement reaction, not a redox reaction.
The reaction: BaCl2 + Na2SO4 → BaSO4 + 2NaCl is NOT a redox reaction.

A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is : 
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
The current passing through the battery in the given circuit, is: 