The equation η+1/2ρv2+ρgh constant implies that

Explanation

The equation η + 1/2ρv² + ρgh = constant is a representation of Bernoulli's principle, which states that in a streamline flow, the sum of the pressure energy (η), kinetic energy per unit volume (1/2ρv²), and potential energy per unit volume (ρgh) is constant. This implies that if the velocity of the liquid increases, the pressure must decrease to maintain the constant sum, and vice versa. Thus, Option B correctly describes this relationship.Option A is incorrect because it wrongly states that increased velocity leads to increased pressure, which is contrary to Bernoulli's principle. Option C is incorrect because it also contradicts Bernoulli's principle by suggesting that lower velocity results in lower pressure. Option D is incorrect as only Option B correctly applies Bernoulli's principle.