The correct answer is B) James, Duke of York sent warships and the Dutch surrender immediately.
England acquired the Dutch colony that separated its other colonies when James, Duke of York sent warships and the Dutch surrender immediately.
Since 1609, the Dutch established a colony and called New Holand in what today is New York. The problem was that King Carles II of England gave a present to his brother James, the Duke of York. James embarked his men and the ships went directly to the new continent. When they arrived in New Holland to claim the land, the Dutch did not offer any resistance and the British took possession of the land with no fight. Nobody was hurt.
The other options of the question were, a) the Dutch leaders sold the colony to James, Duke of York, b) James, Duke of York and his navy attacked the Dutch and defeated, and d) King Charles II made a treaty with the Dutch to turn over the colony.