Step 1: Understanding the Concept
Tobacco and soybean are short-day plants. They flower only when the dark period is longer than a critical length, so they are actually long-night plants.
Step 2: Effect of a light flash
A brief flash of light in the middle of the night converts phytochrome back to its inactive form and breaks the long dark period.
The plant then treats the night as too short.
Step 3: Result
Because the unbroken night is lost, the flowering signal is not produced and the plants do not flower.
Final Answer:
Such plants will not flower.
\[ \boxed{\text{(A) }\text{will not flower.}} \]