JEE Main2011PhysicsMechanical Properties of FluidsActual
Water is flowing continuously from a tap having an internal diameter 8 10⁻³ ~m . The water velocity as it leaves the tap is 0.4 ~ms ⁻¹ . The diameter of the water stream at a distance 2 10⁻¹ ~m below the lap is close to :
Options
- A7.5 10⁻³ ~m
- B9.6 10⁻³ ~m
- C3.6 10⁻³ ~m
- D5.0 10⁻³ ~m
Correct answer
C. 3.6 10⁻³ ~m
Step-by-step solution
Equation of continuity aligned & ( a v ) top =( a v ) bottom & v _ b ^2-(0.4)^2=2 9.8 0.2 [ v ^2- u ^2=2 gh is used ] & v _ b =2 ~m / s (nearly) & [8 10⁻³ ] 0.4= d ^2 4 & ~d 3.6 10⁻³ ~m aligned