Given below are two statements:
Statement I: When speed of liquid is zero everywhere, pressure difference at any two points depends on equation P₁ - P₂ = ρg(h₂ - h₁)
Statement II: In ventury tube shown, 2gh = v₁² - v₂²
In the light of the above statements, choose the most appropriate answer from the options given below.

Question

Given below are two statements:

Statement I: When speed of liquid is zero everywhere, pressure difference at any two points depends on equation P₁ - P₂ = ρg(h₂ - h₁)

Statement II: In ventury tube shown, 2gh = v₁² - v₂²

In the light of the above statements, choose the most appropriate answer from the options given below.

G1 Physics · Accepted Answer

Image Bernoulli equation: P₁ + ρgh₁ + ½ρv₁² = P₂ + ρgh₂ + ½ρv₂² For Statement I: v₁ = v₂ = 0 Therefore, P₁ - P₂ = ρg(h₂ - h₁) So Statement I is correct. For the venturi tube: P₁ - P₂ = ρgh Also, P₁ - P₂ = ½ρ(v₂² - v₁²) Therefore, 2gh = v₂² - v₁² Hence Statement II, which states 2gh = v₁² - v₂², is incorrect. Therefore, Option D is correct.