Direction: Consider a linear programming problem with two variable and two constraints. The objective function is maximize x1 + x2. The corner points of the feasible region are (0, 0), (0,2) (2, 0) and (4/3, 4/3)
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The ratio PA − PB . (1/2)ρu0²
(where pA and pB are the pressures at section A and B, respectively, and ρ is the density of the fluid), is
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1 [1 + (δ/H)]² -
1 [1 − (δ/H)]² -
1 [1 − (2δ/H)]² -
1 1 + (δ/H)
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Correct Option: B
Applying Bernoulli’s equation at sections A and B, we get
| + | + ZA = | + | + ZB | ||||
| ρg | 2g | ρg | 2g |
| + | = | + | ||||
| ρg | 2g | ρg | 2g |
| or | + | = | + | ||||
| Pg | ρg | 2g | 2g |
Now, the ratio
| PA − PB/(1/2)ρ0² = | − | ||
| 2 | 2 | ||
| ρu0² | |||
| 2 | |||
| = | = |  |  | ² | − 1 | ||
| u0² | u0 |
| Substituting the Value of | = | ||
| u0 | 1 − (δ/H) |
we get
| = | − 1 | ||
| (1/2)ρ0² | [1 − (δ/H)]² |
