- 1(current)
Q. No.A fluid of density \(\rho~\)is flowing in a pipe of varying cross-sectional area as shown in the figure. Bernoulli's equation for the motion becomes:
1. \(p+\frac12\rho v^2+\rho gh\text{=constant}\)
2. \(p+\frac12\rho v^2\text{=constant}\)
3. \(\frac12\rho v^2+\rho gh\text{=constant}\)
4. \(p+\rho gh\text{=constant}\)
| Statement I: | The pressure at the bottom of a vessel containing water is proportional to the height of the water. |
| Statement II: | When water begins to flow out of a small hole in a tank (after the hole is opened), the pressure of water inside the tank near the hole decreases. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
A wind with a speed of \(40\) m/s blows parallel to the roof of a house. The area of the roof is \(250\) m2. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be: (\(\rho_{\text {air }}=1.2\))
1. \(4 \times 10^5\) N, downwards
2. \(4 \times 10^5\) N, upwards
3. \(2.4 \times 10^5\) N, upwards
4. \(2.4 \times 10^5\) N, downwards
1. \(1\) hr
2. \(\sqrt2\) hr
3. \(2\) hr
4. \(4\) hr
Water is flowing through a long horizontal tube. Let \(P_A\) and \(P_B\) be the pressures at two points \(A\) and \(B\) of the tube.
| 1. | \(P_A\) must be equal to \(P_B\). |
| 2. | \(P_A\) must be greater than \(P_B\). |
| 3. | \(P_A\) must be smaller than \(P_B\). |
| 4. | \(P_A\) = \(P_B\) only if the cross-sectional area at A and B are equal. |
1. \(40\) min
2. \(80\) min
3. \(160\) min
4. \(320\) min
- 1(current)
Q. No.
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