The given statement about Bernoulli's principle is false.
The Bernoulli's principle explains the relation of the speed of the liquid with that of the pressure. The speed and pressure of the liquid are inversely proportional to each other which mean that when one increases, the other decreases.
This principle is used in air crafts and rockets. The given statement means that an expansion in a fluid's speed makes a weight decline and a lessening in a fluid's speed makes a weight increment. The given statement is considered as false because, when the flow is more, then only the fluid velocity decreases, not in case of restricted flow.