1. | \(A\) and \(B\) is same. | pressure on the base area of vessels
2. | \(A\) and \(B\) is not same. | pressure on the base area of vessels
3. | \(A\) and \(B\) weigh the same. | both vessels
4. | \(B\) weighs twice that of \(A\). | vessel
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. |
Air is pushed carefully into a soap bubble of radius \(r\) to double its radius. If the surface tension of the soap solution is \(T,\) then work done in the process is:
1. | \(12\pi r^2T\) | 2. | \(24\pi r^2T\) |
3. | \(4\pi r^2T\) | 4. | \(8\pi r^2T\) |
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. \(p+\dfrac12\rho v^2+\rho gh\text{=constant}\)
2. \(p+\dfrac12\rho v^2\text{=constant}\)
3. \(\dfrac12\rho v^2+\rho gh\text{=constant}\)
4. \(p+\rho gh\text{=constant}\)
The correct statement about the variation of viscosity of fluids with an increase in temperature is:
1. | viscosity of gases decreases. |
2. | viscosity of both liquids and gases increases. |
3. | viscosity of liquids increases. |
4. | viscosity of liquids decreases. |
1. | decreases |
2. | increases |
3. | remains unchanged |
4. | first increases and then decreases |
1. | \(1\) hr | 2. | \(\sqrt2\) hr |
3. | \(2\) hr | 4. | \(4\) hr |