To determine whether the bacterium is a chemotroph, you would want to focus on its ability to obtain energy from chemical compounds rather than from sunlight (which would indicate it is a phototroph).
The most appropriate method from your options would be:
growing the bacterium in a sulfur solution to see if it breaks the inorganic molecules down.
This method would help assess whether the bacterium can utilize inorganic molecules (like sulfur compounds) for energy, which is characteristic of chemotrophic organisms.