KCET2007PhysicsMechanical Properties of Fluids
The cylindrical tube of a spray pump has a cross-section of 8 ~cm ² , one end of which has 40 fine holes each of area 10⁻⁸ ~m ² . If the liquid flows inside the tube with a speed of 0.15 ~m ~min ⁻¹ , the speed with which the liquid is ejected through the holes is
Options
- A50 ~ms ⁻¹
- B5 ~ms ⁻¹
- C0.05 ~ms ⁻¹
- D0.5 ~ms ⁻¹
Correct answer
B. 5 ~ms ⁻¹
Step-by-step solution
According to equation of continuity, aligned & a v= constant & For tube, (8 10⁻⁴ ) ( 0.15 60 )=a₁ v₁ & For holes, (40 10⁻⁸ ) v=a₂ v₂ & a₂ v₂=a₁ v₁ & 40 10⁻⁸ v= 8 10⁻⁴ 0.15 60 & v= 8 10⁻⁴ 0.15 40 10⁻⁸ 60 &=5 ~m / s aligned