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Question

Figure 4.186 shows a liquid flowing through a tube at the rate of 0.1m3/s. The tube is branched into semicircular tubes of cross-sectional area A/3 and 2A/3. The velocity of liquid at Q is (the cross section of the main tube is A=102m2 and vp=20m/s)
985111_a2ecff60db4b4f23b0fafcbdd51e7b3f.png

A
5 m/s
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B
30 m/s
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C
35 m/s
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D
None of these
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Solution

The correct option is A 5 m/s
Total flow Qp+Qq (Parallel Arrangement)
0.1=Ap.Vp+Aq.Vq (Q=AV)
0.1=A3×20+2A3×Vq
0.1=1023×20+2×1023×Vq
Vq=5m/s.

1238846_985111_ans_69f7514ba4a7490e986de07064373555.jpg

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