<u>Answer:</u> The correct answer is ![k[NO_2][F_2]](https://tex.z-dn.net/?f=k%5BNO_2%5D%5BF_2%5D)
<u>Explanation:</u>
Rate law states that the rate of a reaction is directly proportional to the concentration of the reactants each raised to power a stoichiometric coefficient which is determined experimentally and is called as order.
![Rate=k[A]^x[B]^y](https://tex.z-dn.net/?f=Rate%3Dk%5BA%5D%5Ex%5BB%5D%5Ey)
where,
k = Rate constant
x = Order with respect to A
y = Order with respect to B
In a mechanism, it is determined from the slow step of the reaction.
The slow step of the mechanism is:

The rate of this reaction is given by the expression:
![rate=k[NO_2][F_2]](https://tex.z-dn.net/?f=rate%3Dk%5BNO_2%5D%5BF_2%5D)
Thus, the correct answer is ![k[NO_2][F_2]](https://tex.z-dn.net/?f=k%5BNO_2%5D%5BF_2%5D)