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Q.

A large tank is partially filled with water. The tank has a small orifice at the bottom and water is coming out of the orifice. When height of water above the orifice is 2 m, rate of flow of water through the orifice is 0.5  m3/s. when height of water above the orifice is 0.5 m rate of flow of water through the orifice will be

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a

0.5 m3/s

b

0.125 m3/s

c

0.25 m3/s

d

0.4 m3/s

answer is C.

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Detailed Solution

(3)Rate of flow through the orifice Q  α   h∴    Q'Q = h'h  ⇒   Q0.5=  0.52 =12∴    Q' =Q2=0.52 =0.25  m3/s.
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A large tank is partially filled with water. The tank has a small orifice at the bottom and water is coming out of the orifice. When height of water above the orifice is 2 m, rate of flow of water through the orifice is 0.5  m3/s. when height of water above the orifice is 0.5 m rate of flow of water through the orifice will be