The correct option is A BI3
BI3>BBr3>BCl3>BF3
This order can be explained on the basis of the tendency of halogen atom to back donate its lone pair of electrons to the empty p-orbital of B atom through pπ−pπ bonding. As this tendency is higher in case of F (due to identical size of 2p-orbitals of B and F).
The electron deficiency of B decreases and thus, BF3 behaves as the weakest lewis acid. As the size of halogen atom increases from Cl to I, the tendency for back donation decreases and consequently the electron deficiency of B increases and the lewis acid character increases accordingly from BF3 to BI3.