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Question
A cylindrical vessel of 90cm height is kept filled upto the brim. It has four holes 1,2,3 and 4 which are respectively at heights of 20cm, 30cm, 40cm and 50cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from the holes marked as number
A cylindrical vessel of 90cm height is kept filled upto the brim. It has four holes 1,2,3 and 4 which are respectively at heights of 20cm, 30cm, 40cm and 50cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from the holes marked as number
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Solution
The correct option is B 3 and 4
Horizontal rarige R=2√h(H−h) where h is the depth of hole below the free surface of liquid and H is the total height of liquid column. Here H = 90cm. For holes 1,2,3 and 4, h will be 70cm, 60cm, 50cm and 40cm respectively and (H - h) will be 20,30,40 and 90cm respectively. On solving R=2√h(H−h) we can find that R is maximum for holes 3 and 4
3 and 4
Horizontal rarige R=2√h(H−h) where h is the depth of hole below the free surface of liquid and H is the total height of liquid column. Here H = 90cm. For holes 1,2,3 and 4, h will be 70cm, 60cm, 50cm and 40cm respectively and (H - h) will be 20,30,40 and 90cm respectively. On solving R=2√h(H−h) we can find that R is maximum for holes 3 and 4
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