Final answer:
To determine the spring constant k for a spring, tension versus mass would be plotted, but the correct method involves plotting force against displacement to find k from the slope of this line. Options provided don't describe the correct method.
Step-by-step explanation:
To determine the spring constant k for a given spring, you can perform a simple physical experiment and plot the data in a graph. The most relevant plot would be tension versus mass, as the spring constant is the ratio of the force of tension to the displacement of the spring mass system, according to Hooke's law. However, none of the options provided in the question (time vs. mass, temperature vs. magnetization, tension vs. momentum, torque vs. mass) correctly describe the method for determining k.
Instead, you would typically plot the force (tension) applied to the spring against the resulting displacement of the spring from its equilibrium position. The spring constant k is then found from the slope of this linear relationship, where k = F/Δx. In the case of a mass oscillating in simple harmonic motion (SHM) attached to a spring, you can find the spring constant from the motion of the mass. By measuring the amplitude of oscillation and the period of the motion, you can use the formula for the period of a simple pendulum, T = 2π√(m/k), to solve for k.