The correct answer is: C. One-half.
A uniformly loaded D.C. distributor fed at both ends with equal voltages will have a voltage drop at the middle point that is one-half of the voltage drop in a similar distributor fed at one end only. This is because the current in the distributor is divided equally between the two ends, so the voltage drop across each section is half of the total voltage drop.
Option A is incorrect because the voltage drop at the middle point is not one-fourth of the voltage drop in a similar distributor fed at one end only.
Option B is incorrect because the voltage drop at the middle point is not one-third of the voltage drop in a similar distributor fed at one end only.
Option D is incorrect because the voltage drop at the middle point is not twice the voltage drop in a similar distributor fed at one end only.