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**Hint:**In the fluid dynamics, Bernoulli's principle states that an increase in the velocity of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy. This theorem is to be used to solve this question.

**Complete step by step answer:**

First of all let us take a look at what actually Bernoulli’s theorem states. Bernoulli's principle is a concept in fluid dynamics. It says that as velocity of the fluid increases, pressure decreases. And also a higher pressure pushes or accelerates fluid toward lower pressure. So any variation in a fluid's speed must be matched by a change in pressure or force.

Here it is mentioned in the question that,

The holes are having a cross sectional area

$S=0.5c{{m}^{2}}$

The height difference between these holes are equivalent to,

$\Delta h=51cm$

Let the velocity of water, flowing through A be ${{v}_{a}}$ and ${{v}_{b}}$ that through point B, and also discharging rate through A

${{Q}_{a}}={{S}_{{{v}_{a}}}}$

And similarly through B

${{Q}_{b}}={{S}_{{{v}_{b}}}}$$4F=2N$

The force of reaction at the point A is,

${{F}_{a}}=\rho {{Q}_{a}}{{v}_{a}}=\rho S{{v}_{b}}^{2}$

As the both forces are antiparallel to each other, then the resultant force will be given as,

${{F}_{a}}=\rho S\left( {{v}_{a}}^{2}-{{v}_{b}}^{2} \right)$

Now let us apply Bernoulli’s theorem,

According to the theorem the liquid flowing out of A is,

${{P}_{0}}+\rho gh={{P}_{0}}+\dfrac{1}{2}\rho {{v}_{a}}^{2}$

And the liquid flowing out of B is,

${{P}_{0}}+\rho g\left( h+\Delta h \right)={{P}_{0}}+\dfrac{1}{2}\rho {{v}_{b}}^{2}$

Comparing both the equations will give rise to,

$\left( {{v}_{b}}^{2}-{{v}_{a}}^{2} \right)\dfrac{\rho }{2}=\Delta h\rho g$

Therefore the force will be,

$F=2\rho gS\Delta h=0.50N$

Hence the value of 4F will be,

$4F=2N$

Therefore the answer for the question has been calculated.

**Note:**

Fluid force is the force which results from liquid pressure experiencing over an area. Liquid pressure is the pressure at the depth of a liquid with weight. The mass density of a fluid is the mass of the fluid flowing per unit volume.

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