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 eje

Question

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

Quantrex Academy · Accepted Answer

Correct answer: B. 5 ~m / s

According to equation of continuity, 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

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

Correct answer

Step-by-step solution

More from Mechanical Properties of Fluids