AP EAMCET202317 May 2023Morning ShiftPhysicsMechanical Properties of FluidsActual
A large open top water tank is completely filled with water. A small hole of diameter 4 ~mm is made 10 ~m below the water level. The flow rate of water through the hole is (Acceleration due to gravity =10 ~ms ⁻² )
Options
- A14.14 10⁻⁶ ~m ^3 ~s ⁻¹
- B2.1 10⁻⁶ ~m ^3 ~s ⁻¹
- C1.77 10⁻⁶ ~m ^3 ~s ⁻¹
- D0.177 10⁻⁶ ~m ^3 ~s ⁻¹
Correct answer
C. 1.77 10⁻⁶ ~m ^3 ~s ⁻¹
Step-by-step solution
From Bernoulli's equation aligned & g h= 1 2 v^2 & v = 2 gh = 2 10 10 =14.14 ~m / s aligned The flow rate of water through the hole is given by aligned & Q=A v= r^2 v & =3.14 ( 4 10⁻³ 2 )^2 14.14=177 10⁻⁶ ~m ^3 / s aligned