Explanation:

Hydrolysis is a chemical reaction in which a compound reacts with water to produce new compounds. It involves the breaking of chemical bonds in the original compound and the formation of new bonds with water molecules.

NF3 (Nitrogen trifluoride), NCl3 (Nitrogen trichloride), NBr3 (Nitrogen tribromide), and NI3 (Nitrogen triiodide) are all halides of nitrogen. Halides are compounds formed by the combination of halogen elements with other elements.

Hydrolysis of Halides:
When halides of nitrogen undergo hydrolysis, they react with water to produce corresponding oxyacids of nitrogen and hydrogen halides. The general equation for the hydrolysis of nitrogen halides is as follows:

NX3 + 3H2O → HX + HNO3

Where X represents the halogen element (F, Cl, Br, or I).

Now, let's analyze each compound to determine if it undergoes hydrolysis or not:

a) NF3 (Nitrogen trifluoride):
Nitrogen trifluoride reacts with water to undergo hydrolysis. It forms hydrofluoric acid (HF) and nitric acid (HNO3). Therefore, NF3 undergoes hydrolysis.

b) NCl3 (Nitrogen trichloride):
Nitrogen trichloride also undergoes hydrolysis when reacted with water. It forms hydrochloric acid (HCl) and nitric acid (HNO3). Therefore, NCl3 undergoes hydrolysis.

c) NBr3 (Nitrogen tribromide):
Similarly, nitrogen tribromide undergoes hydrolysis when reacted with water. It forms hydrobromic acid (HBr) and nitric acid (HNO3). Therefore, NBr3 undergoes hydrolysis.

d) NI3 (Nitrogen triiodide):
Unlike the other nitrogen halides, nitrogen triiodide does not undergo hydrolysis when reacted with water. It does not form any corresponding oxyacid of nitrogen or hydrogen iodide. Therefore, NI3 does not undergo hydrolysis.

Summary:
Out of the given options, d) NI3 (Nitrogen triiodide) does not undergo hydrolysis. It does not react with water to form any corresponding oxyacid of nitrogen or hydrogen iodide.