A) 50 m2/s2
B) 50.5 m2/s2
C) 51 m2/s2
D) 52 m2/s2
Correct Answer: A
Solution :
Let A = cross-section of tank a = cross-section hole V = velocity with which level decreases v = velocity of efflux From equation of continuity \[av=AV\Rightarrow V=\frac{av}{A}\] By using Bernoulli's theorem for energy per unit volume Energy per unit volume at point A = Energy per unit volume at point B \[P+\rho gh+\frac{1}{2}\rho {{V}^{2}}=P+0+\frac{1}{2}\rho {{v}^{2}}\] Þ \[{{v}^{2}}=\frac{2gh}{1-{{\left( \frac{a}{A} \right)}^{2}}}=\frac{2\times 10\times (3-0.525)}{1-{{(0.1)}^{2}}}=50{{(m/\sec )}^{2}}\]You need to login to perform this action.
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