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Q.

A tank is filled with water to a height H. The tank has two orifices A and B at depths H/4 and H/2 respectively below the free surface of water. Area of orifices A and B are respectively ‘a’ and ‘a/2’. If QA and QB represent rate of volume flow of water through A and B, then QA/QB is

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a

22

b

2

c

1/22

d

2

answer is B.

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Detailed Solution

Q=S2gh where S is the cross-sectional area of orifice and h is the depth of orifice below the free surface of water,∴ QAQB=SA2g hASB2g hB=a2g H4a/22g H2=2
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A tank is filled with water to a height H. The tank has two orifices A and B at depths H/4 and H/2 respectively below the free surface of water. Area of orifices A and B are respectively ‘a’ and ‘a/2’. If QA and QB represent rate of volume flow of water through A and B, then QA/QB is