A current of 16 amperes divides between two branches in parallel of resistances 8 ohms and 12 ohms respectively. The current in each branch is

6.4 A, 6.9 A
6.4 A, 9.6 A
4.6 A, 6.9 A
4.6 A, 9.6 A

The correct answer is: C. 4.6 A, 6.9 A

The current in each branch is inversely proportional to the resistance of the branch. Therefore, the current in the 8 ohm branch is 6.4 A / 8 ohms = 0.8 A, and the current in the 12 ohm branch is 6.4 A / 12 ohms = 0.5 A.

Option A is incorrect because the current in the 8 ohm branch is 6.9 A, not 6.4 A.

Option B is incorrect because the current in the 8 ohm branch is 6.4 A, not 9.6 A.

Option D is incorrect because the current in the 12 ohm branch is 0.5 A, not 9.6 A.