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Most Important Selected Qs for JEE AdvancedPhysicsMechanical Properties of Fluids

The tap in the garden was closed in appropriately resulting in the water flowing freely out of it which forms a downward narrowing beam. The beam of water has a circular cross-section, the diameter of the circle is 6 mm at one point and 3 cm below it is only 3 mm as shown in figure. If the rate of water wasted is (x ) mL / minute then find the value of x . (Neglect the effect of viscosity and surface tension of the f

Correct answer

108

Step-by-step solution

From continuity equation; A₁ v₁=A₂ v₂ 4 v₁=v₂ (i) From Bernoulli's sequation v₁^2 2 = v₂^2 2 - g h .. Solving (i) & (ii); v₁= 1 5 ~m / s ; v₂= 4 5 ~m / s Total volume wasted = ( 6 10⁻³ 2 )^2 v₁ t= 9 10⁻⁶ 1 5 60 1000=108 ~mL / minute

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