There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm = 105N/m2) then the velocity of water flowing from hole is

  • Option 1)

    10 m/s

  • Option 2)

    30 m/s

  • Option 3)

    20 m/s

  • Option 4)

    none of these

 

Answers (1)

As we discussed in

Torricelli's Theorem / Velocity of Efflux -

In fluid dynamics relating the speed of fluid flowing out of an orifice. 

- wherein

 

 Gauge pressure at bottom=2atm = 2\times 1.01\times 10^5 Pa

\rho gh=2\times 1.01\times 10^5^{}

10^3\times 10\times h=2\times 1.01\times 10^5

h= 2\times 10.1 =20.1

\therefore v_{eff}=\sqrt{2gh}=\sqrt{2\times 10\times 20.1}=20ms^{-1}


Option 1)

10 m/s

Incorrect

Option 2)

30 m/s

Incorrect

Option 3)

20 m/s

Correct

Option 4)

none of these

Incorrect

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