| 1. | The principle of perpendicular axes |
| 2. | Huygen's principle |
| 3. | Bernoulli's principle |
| 4. | The principle of parallel axes |
| 1. | The coefficient of viscosity is a scalar quantity. |
| 2. | Surface tension is a scalar quantity. |
| 3. | Pressure is a vector quantity. |
| 4. | Relative density is a scalar quantity. |
| 1. | \(15\times 10^{-3}~\text{N}\) | 2. | \(30\times 10^{-3}~\text{N}\) |
| 3. | \(1.5\times 10^{-3}~\text{N}\) | 4. | \(20\times 10^{-3}~\text{N}\) |
| 1. | \(D\) | 2. | \(A\) |
| 3. | \(B\) | 4. | \(C\) |
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. |
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. | \(p+\rho gh\text{ = constant}\) |
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 the work done in the process is:
| 1. | \(12\pi r^2T\) | 2. | \(24\pi r^2T \) |
| 3. | \(4\pi r^2T\) | 4. | \(8\pi r^2T\) |
| 1. | pressure on the base area of vessels \(A\) and \(B\) is the same. |
| 2. | pressure on the base area of vessels \(A\) and \(B\) is not the same. |
| 3. | both vessels \(A\) and \(B\) weigh the same. |
| 4. | vessel \(B\) weighs twice that of \(A\). |