JEE Main202427 Jan 2024Evening ShiftPhysicsMechanical Properties of FluidsActual
The reading of pressure metre attached with a closed pipe is 4 . 5 × 10 4 N m - 2 . On opening the valve, water starts flowing and the reading of pressure metre falls to 2 . 0 × 10 4 N m - 2 . The velocity of water is found to be V m s - 1 . The value of V is _________.
Correct answer
0
Step-by-step solution
The formula to calculate the change in pressure can be written as P 1 - P 2 = 1 2 ρ v 2 . . . 1 From equation (1), it follows that 4 . 5 × 10 4 - 2 . 0 × 10 4 = 1 2 × 10 3 × v 2 ⇒ 2 . 5 × 10 4 = 1 2 × 10 3 × v 2 ⇒ v 2 = 50 ⇒ v = 50 Hence, V = 50 .