A manometer connected to a closed tap reads 3.5 × 1 0 5 N m - 2 . When the valve is opened, the reading of manometer falls to 3.0 × 1 0 5 N m - 2 , then the velocity of flow of water is

Question

A manometer connected to a closed tap reads 3.5 × 1 0 5 N m - 2 . When the valve is opened, the reading of manometer falls to 3.0 × 1 0 5 N m - 2 , then the velocity of flow of water is, 100 m s - 1, 10 m s - 1, 1 m s - 1, 10 10 m s - 1

MARKS App · Accepted Answer

Bernoulli's theorem for unit mass of liquid is P ρ + 1 2 v 2 = constant As the liquid starts flowing, its pressure energy decreases 1 2 v 2 = Δ P ρ ⇒ 1 2 v 2 = 3.5 × 1 0 5 - 3 × 1 0 5 1 0 3 ⇒ v 2 = 2 × 0.5 × 1 0 5 1 0 3 ⇒ v 2 = 100 ⇒ v = 10 m / s

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