All of the above answers are primarily based on UK citizens' circumstances. It is my understanding that in fact the period varies depending on which country issues the passport in question. The US has schemes in place whereby citizens of some countries can enter relatively freely, others are required to apply for a visa which, in some cases will be issued for a very limited period. The US has no diplomatic relations with ceretain countries and citizens of those may only be able to apply for visas through a third country's mission. For a few such countries the chances of obtaining a visa, and therefore of visiting the US legally, are very remote indeed.