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Q.

A bent tube is lowered into a water stream as shown in fig. The velocity of the stream relative to the tube is equal to v = 2.5 m/s. The closed upper end of the tube located at the height h0 = 12 cm has a small orifice. To what height ‘h’ will the water jet rise after coming out of orifice?

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a

0.1 m

b

0.44 m

c

0.2 m

d

0.55 m

answer is C.

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Detailed Solution

Let H is the depth of horizontal part of tube from top level of stream. Applying Bernoulli’s theorem from entrance of liquid into the tube upto the highest point of water jet, (P0+Hρg)+12ρv2+O= P0+O+ρg(H+h0+h) ⇒v2=2g(h0+h)    ⇒h=v22g−h0 =(2.5)22×9.8−0.12 =0.2m
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