Step 1: Go through each statement against known PSI biochemistry. Location in stroma-exposed membrane region, activation by far red light beyond 680 nm at P700, and its dual role in cyclic and non-cyclic electron flow are all textbook facts and hold true.
The pigment composition of PSI is skewed heavily toward chlorophyll a over chlorophyll b, giving a chl a to chl b ratio well above one, not below it.
Since the statement claims the ratio is less than one, it contradicts the real pigment ratio, so it is the false statement. Answer: Chlorophyll a to b ratio is less than one is wrong.