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Q. No.A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball (\(v\)) as a function of time (\(t\)) is:
1. \(D\)
2. \(A\)
3. \(B\)
4. \(C\)
Subtopic: Viscosity |
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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. |
Subtopic: Viscosity |
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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. \(p+\rho gh\text{=constant}\)
Subtopic: Bernoulli's Theorem |
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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. | \(8\pi r^2T\) |
Subtopic: Surface Tension |
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Two copper vessels \(A\) and \(B\) have the same base area but are of different shapes. \(A\) takes twice the volume of water that \(B\) requires to fill up to a particular common height. Then the correct statement among the following is:
| 1. | pressure on the base area of vessels \(A\) and \(B\) is same. | 2. | pressure on the base area of vessels \(A\) and \(B\) is not same. |
| 3. | both vessels \(A\) and \(B\) weigh the same. | 4. | vessel \(B\) weighs twice that of \(A\). |
Subtopic: Pressure |
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The terminal velocity of a copper ball of radius \(5\) mm falling through a tank of oil at room temperature is \(10\) cm s-1. If the viscosity of oil at room temperature is \(0.9\) kg m-1 s-1, the viscous drag force is:
1. \(8.48 \times10^{-3}\) N
2. \(8.48 \times10^{-5}\) N
3. \(4.23 \times10^{-3}\) N
4. \(4.23 \times10^{-6}\) N
1. \(8.48 \times10^{-3}\) N
2. \(8.48 \times10^{-5}\) N
3. \(4.23 \times10^{-3}\) N
4. \(4.23 \times10^{-6}\) N
Subtopic: Stokes' Law |
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If a soap bubble expands, the pressure inside the bubble:
| 1. | is equal to the atmospheric pressure | 2. | decreases |
| 3. | increases | 4. | remains the same |
Subtopic: Surface Tension |
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The venturi-meter works on:
| 1. | The principle of perpendicular axes |
| 2. | Huygen's principle |
| 3. | Bernoulli's principle |
| 4. | The principle of parallel axes |
Subtopic: Bernoulli's Theorem |
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The amount of energy required to form a soap bubble of radius \(2~\text{cm}\) from a soap solution is nearly:
\((\)surface tension of soap solution \(0.03~\text{Nm}^{-1})\)
1. \(50.1 \times 10^{-4}~\text{J}\)
2. \(30.16 \times 10^{-4}~ \text{J}\)
3. \(5.06 \times 10^{-4} ~\text{J}\)
4. \(3.01\times 10^{-4} ~\text{J}\)
\((\)surface tension of soap solution \(0.03~\text{Nm}^{-1})\)
1. \(50.1 \times 10^{-4}~\text{J}\)
2. \(30.16 \times 10^{-4}~ \text{J}\)
3. \(5.06 \times 10^{-4} ~\text{J}\)
4. \(3.01\times 10^{-4} ~\text{J}\)
Subtopic: Surface Tension |
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Which of the following statements is not true?
| 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. |
Subtopic: Pressure |
70%
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