The cylindrical tube of a spray pump has a cross-section of 8 c m 2 , one end of which has 40 fine holes each of area 10 - 8 m 2 . If liquid flows inside the tube with a speed of 0.15 m m i n - 1 , the speed with which the liquid is ejected through the hole is

Step-by-step solution

According to equation of continuity, a v = c o n s t a n t ∴ F o r t u b e , 8 × 10 - 4 × 0.15 60 = a 1 v 1 F o r h o l e s 40 × 10 - 8 × v = a 2 v 2 ∴ a 1 v 1 = a 2 v 2 ∴ 40 × 10 - 8 × v = 8 × 10 - 4 × 0.15 60 ⟹ v = 8 × 10 - 4 × 0.15 40 × 10 - 8 × 60 = 5 m s - 1