MHT CET202410 May 2024Morning ShiftPhysicsMechanical Properties of FluidsActual
A closed pipe containing a liquid showed a pressure P₁ by gauge. When the valve was opened, pressure was reduced to P₂ . The speed of water flowing out of the pipe is ( = density of water )
Options
- A[ 4 (P₁-P₂ ) ]^ 1 / 2
- B[ 4 (P₂-P₁ ) ]^ 1 / 2
- C[ 2 (P₁-P₂ ) ]^ 1 / 2
- D[ 2 ( P ₂- P ₁ ) ]^ 1 / 2
Correct answer
C. [ 2 (P₁-P₂ ) ]^ 1 / 2
Step-by-step solution
According to Bernoulli's equation, array ll & P₁+ 1 2 v₁^2=P₂+ 1 2 v₂^2 & v₂^2= 2 (P₁-P₂ ) , [ v₁=0 ] & v₂= 2 (P₁-P₂ ) array