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but the question, specifically asked about the manipulation of materials to increase its conductivity. I only talked about semiconductors because of the whole process of doping. Superconductors aren't really manipulated, unless you think cooling them down is a way of manipulation. Like for...

yes I agree, though shouldn't they talk about torque then in particular. I know torque is a force, but its vague just to say force. Because both T=nbiacos(theta) and F=nbilsin(theta) are acting on the coil?

With regard to the current, weren't they talking about the force not torque? I originally did the torque equation, but then when I was revising I look at it again and I used F=BILsin(theta). Because it was talking about the force that required the minimum current to lift the mass:/