. Bernoulli's theorem is based on the conservation of (a) momentum (b) mass (c) energy (c) angular momentum.

Physics

Question

. Bernoulli's theorem is based on the conservation of
(a) momentum
(b) mass
(c) energy
(c) angular momentum.

Explanation ⇒ Bernoulli's theorem, tells us that the total energy of the fluid per unit volume remains the constant.

Its equation is,

P + hρg + 1/2 ρv² = constant.

P is the pressure, which can also be said as pressure energy per unit volume.

Pressure energy per unit volume = Pressure × volume/Volume = P

Potential energy per unit volume  = mgh/Volume

= hρg × Volume/Volume = hρg

Kinetic energy per unit volume = 1/2 mv²/Volume

= 1/2 ρv² × Volume/Volume

= 1/2 ρv²

Hence, Option (c). is correct.

Hope it helps.

P + hρg + 1/2 ρv² = constant.

P is the pressure, which can also be said as pressure energy per unit volume.

Pressure energy per unit volume = Pressure × volume/Volume = P

Potential energy per unit volume  = mgh/Volume

= hρg × Volume/Volume = hρg

Kinetic energy per unit volume = 1/2 mv²/Volume

= 1/2 ρv² × Volume/Volume

= 1/2 ρv²