Sodium and potassium react with water much more vigorously than lithium because:

The correct option is C sodium and potassium have lower melting point than that of lithium

When sodium and potassium react with water, the heat evolved causes them to melt, giving a larger area of contact with water, lithium on the other hand, does not melt under these condition and thus reacts more slowly.

Li Na K

180 98 64 Melting point ${(}^{o}C)$