MHT CET202019 Oct 2020Morning ShiftPhysicsMechanical Properties of FluidsActual
A closed pipe containing liquid showed a pressure ' P ₁ ' by guage. When the valve is opened, pressure was reduced to ' P ₂ '. The speed of water flowing out of the pipe is [ = density of water ]
Options
- A[ 2 ( P ₁+ P ₂ ) ]^ 1 / 2
- B[ 2 ( P ₁- P ₂ ) ]^ 1 / 2
- C[ 2 ( P ₁- P ₂ ) ]^ 1 / 2
- D[ 2 ( P ₁+ P ₂ ) ]^ 1 / 2
Correct answer
B. [ 2 ( P ₁- P ₂ ) ]^ 1 / 2
Step-by-step solution
(B) By Bernoulli equation, aligned & P₁=P₂+ 1 2 v² & P₁-P₂= 1 2 v² v &= 2 (P₁-P₂ ) aligned