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A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20cm, 30 cm, 40 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from

  1. hole number 4    
  2. hole number 3    
  3. hole number 2    
  4. hole number 1    

The correct answer is: hole number 3


    The maximum horizontal distance from the vessel comes from hole number 3 and 4
    v equals square root of 2 g h blank end root blankh is height of hole from top.
    text horizontal distance  end text x equals v t equals square root of 2 g h end root square root of fraction numerator 2 open parentheses H minus h close parentheses over denominator g end fraction end root
    x equals 2 square root of h left parenthesis H minus h right parenthesis end root

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