The correct answer is: C. Both resistance and inductance carry equal currents.
An A.C. voltage is impressed across a pure resistance of 3.5 ohms in parallel with a pure inductance of impedance of 3.5 ohms. The impedance of a pure resistance is equal to its resistance, while the impedance of a pure inductance is equal to its inductance. Since the resistance and inductance are in parallel, the total impedance of the circuit is equal to the impedance of each component divided by their sum. In this case, the total impedance is equal to 3.5 ohms.
The current through a component is equal to the voltage across the component divided by its impedance. Since the voltage across each component is the same and the impedance of each component is equal, the current through each component is also equal.
Therefore, both resistance and inductance carry equal currents.
Option A is incorrect because the current through the resistance is not more than the current through the inductance.
Option B is incorrect because the current through the resistance is not less than the current through the inductance.
Option D is incorrect because both resistance and inductance carry equal currents.