JEE Main · 2024 · 08 Apr 2024 · Shift 1 · Fluid Mechanics

Correct Bernoulli's equation is (symbols have their usual meaning) :

(A) $P + m g h + \frac{1}{2} m v^{2} =$ constant
(B) $P + ρ gh + \frac{1}{2} ρ v^{2} =$ constant✓ Correct
(C) $P + ρ g h + ρ v^{2} =$ constant
(D) $P + \frac{1}{2} ρ gh + \frac{1}{2} ρ v^{2} =$ constant

Answer: (B)

Solution

Bernoulli's theorem (energy per unit volume conserved along a streamline):

P + ρ g h + \frac{1}{2} ρ v^{2} = constant

. Every term has the dimension of pressure. Option (B).

JEE Main · 2024 · 08 Apr 2024 · Shift 1 · Single correct option

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