Light gathering in M43 vs FF

Peng Bian wrote:

So there's a lot of discussions regarding FOV of M43 vs FF, and I think I have a good grasp on that aspect.

Thought one thing that bugs me is light gathering. Let me ask the question with a simple example:

Suppose I have two camera setups:

• 25mm f1.4 lens on a M43
• 50mm f1.4 lens on a FF

Same scene, same placement, shot wide open at say ISO 200. Assume that processing between the cameras is exactly the same, I set the exposure to 1/100, will I get the same image in terms of amount of light gathered?