Answer
Choice C.
Work Step by Step
Find the fluid resistance.
$$R_A=\frac{\rho}{10a}=\frac{1\Omega \cdot m}{10(10^{-5}m)}=10^4 \Omega$$
Find the capacitive reactance.
$$X_C=\frac{1}{\omega C}=\frac{1}{(10^4 rad/s)(10^{-8}F)}= 10^4 \Omega $$
Find the overall impedance.
$$Z=\sqrt{R^2+X_C^2}=\sqrt{(10^4 \Omega)^2+(10^4 \Omega)^2}$$
$$Z=\sqrt{2}(10^4 \Omega) $$