The correct chronological order in which the following appeared in India is:

III. Iron plough

IV. Urban culture

II. Punch-marked silver coins

I. Gold coins

The iron plough is believed to have appeared first in ancient India, followed by the development of urban culture. Punch-marked silver coins were used as a form of currency in the later stages, and gold coins came into existence at a later period.

Therefore, the correct answer is:

IV, III, II, I