Work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. It is a fundamental concept in physics that relates the concepts of work and energy. However, there are certain aspects of energy and motion that the work-energy theorem does not provide information on. One such aspect is the time dependence of the system.

Time dependence:
The work-energy theorem does not provide any information about how the work or energy of a system changes with time. It only relates the initial and final states of the system in terms of work and kinetic energy. In other words, it does not tell us how the work done on an object or its kinetic energy changes over time during a process.

Explanation:
The work-energy theorem is derived from the principle of conservation of energy. It states that the net work done on an object is equal to the change in its kinetic energy. Mathematically, it can be expressed as:

Work = ΔKE

where Work represents the net work done on the object and ΔKE represents the change in kinetic energy.

However, this theorem does not provide any information about the time dependence of the system. It does not tell us how the work or energy changes with time during a process. For example, it cannot tell us how the kinetic energy of an object changes at different points in time during its motion.

Example:
Consider a ball being thrown vertically upwards. The work-energy theorem tells us that the work done on the ball is equal to the change in its kinetic energy. Initially, when the ball is at rest, its kinetic energy is zero. As it moves upwards, its kinetic energy increases and reaches a maximum at the highest point of its trajectory. Then, as it comes back down, its kinetic energy decreases again until it reaches zero at the same height from where it was initially thrown.

The work-energy theorem does not provide information about how the kinetic energy of the ball changes at different points in time during this process. It only tells us the initial and final states of the system in terms of work and kinetic energy, but does not give any information about the time dependence of these quantities.

Therefore, the correct answer is option 'C' - time dependence. The work-energy theorem does not give information about how the work or energy of a system changes with time during a process.