Question

State and derive Bernoulli’s theorem, mentioning clearly the assumption underlying it.

Answer 1

In fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. The principle is named after Daniel Bernoulli who published it in his book Hydrodynamica in 1737

An increase in the velocity of a fluid that is accompanied by a decrease of pressure. Swiss scientist, Daniel Bernoulli (1700-1782), demonstrated that, in most cases, the pressure in a liquid or gas decreases as the liquid or gas moves faster.
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Answer 2

Explanation:

Bernoulli’s principle, also known as Bernoulli’s equation, will apply for fluids in an ideal state. Therefore, pressure and density are inversely proportional to each other. This means that a fluid with slow speed will exert more pressure than a fluid which is moving faster.

In this case, fluid refers to not only liquids but gases as well. This principle forms the basis of many applications. Some very common examples are an aeroplane that tries to stay aloft or even the most common everyday things such as a shower curtan billowing inward