Water Is Filled In A Cylindrical Container Upto A Height Of 3 M. A Hole Of Cross-section Area a is Made In The Wall Of The Container At A Height Of 52.5 Cm From The Bottom. The Cross-section Area Of The Container Is A. If a/A = 0.1, Then The Squire Of The Speed Of Water Coming Out From The Hole Is (g = 10 M/s2)

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Question

Water is filled in a cylindrical container upto a height of 3 m. A hole of cross-section area a is made in the wall of the container at a height of 52.5 cm from the bottom. The cross-section area of the container is A. If a/A = 0.1, then the squire of the speed of water coming out from the hole is (g = 10 m/s2)

Solution

Correct option is

Let P be the atmosphere pressure,  the density of water, v1 the velocity with which water level in the container falls, and v2 the velocity with which water flows out form the hole. Applying continuity equations at points 1 and 2, we have

  

Now, applying Bernoulli’s theorem at points 1 and 2, we have

          

  

  

  

  

Substituting the given values

         

Testing

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