[Solution by Dr. Abubacker] A: $\tau=C\theta$, so $C$ has the dimension of torque, $ML^2T^{-2}$ (true). B: current sensitivity $\frac{NBA}C$ rises with $N$, but the coil resistance rises too, so voltage sensitivity need not rise (true). C: doubling $N$ doubles the resistance as well, leaving voltage sensitivity unchanged (false). D: an ammeter needs a small shunt (false). E: current sensitivity is directly proportional to $N$ (false). So A and B only. Answer (4).