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Bernoulli's theorem is based on the conservation of
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energy
According to Bernoulli's theorem,
$$
p+\frac{1}{2} \rho V^2+\rho g h=\text { constant }
$$
where, $p$ is pressure energy per unit volume, $\frac{1}{2} \rho V^2$ is kinetic energy per unit volume and $\rho g h$ is potential energy per unit volume and for a system this value remains constant. Hence, Bernoulli's theorem is based on conservation of energy.
$$
p+\frac{1}{2} \rho V^2+\rho g h=\text { constant }
$$
where, $p$ is pressure energy per unit volume, $\frac{1}{2} \rho V^2$ is kinetic energy per unit volume and $\rho g h$ is potential energy per unit volume and for a system this value remains constant. Hence, Bernoulli's theorem is based on conservation of energy.
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