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Q. No.The density of ocean water varies with depth. This is due to:
1. elasticity
2. viscosity
3. surface tension
4. all of the above
Subtopic: Properties of Fluids |
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A steel ball is dropped in a viscous liquid. The distance-time graph of the steel ball in the liquid is shown below. The terminal velocity of the ball is closest to:
1. \(0.26~\text{m/s}\)
2. \(0.33~\text{m/s}\)
3. \(0.45~\text{m/s}\)
4. \(0.21~\text{m/s}\)
1. \(0.26~\text{m/s}\)
2. \(0.33~\text{m/s}\)
3. \(0.45~\text{m/s}\)
4. \(0.21~\text{m/s}\)
Subtopic: Stokes' Law |
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A viscous liquid is flowing through a straight tube under the action of a pressure difference across the ends of the tube. The tube is aligned with the \(x\)-axis. The force exerted on the tube by the liquid has the form:
\((a,b>0)\)
\((a,b>0)\)
| 1. | \(a\hat i\) | 2. | \(-a\hat i\) |
| 3. | \(a\hat i+b\hat j\) | 4. | \(-a\hat i+b\hat j\) |
Subtopic: Viscosity |
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With a rise in temperature:
| 1. | surface tension of water decreases. |
| 2. | viscosity of water decreases. |
| 3. | viscosity of air decreases. |
| 4. | viscosity of air increases. |
Subtopic: Surface Tension |
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The surface tension of soapy water is \(S.\) When bubbles are blown with soapy water, one bubble of radius \(r\) is formed within another of radius \(3r.\) The excess pressure within the smaller bubble, relative to the atmospheric pressure is:
| 1. | \(\dfrac{4S}{r}\) | 2. | \(\dfrac{8S}{3r}\) |
| 3. | \(\dfrac{8S}{r}\) | 4. | \(\dfrac{16S}{3r}\) |
Subtopic: Surface Tension |
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The platelets are drifting with the blood flowing in a streamlined flow through a horizontal artery as shown below. The artery is contracted in Region II.
Choose the correct statement.
Choose the correct statement.
| 1. | As the platelets enter a constriction, the platelets get squeezed closer together in the narrow region and hence the fluid pressure must rise there. |
| 2. | As the platelets enter a constriction, pressure is lower there. |
| 3. | The artery's cross-section area is smaller in the constriction and thus the pressure must be larger there because pressure equals the force divided by area. |
| 4. | The pressure is the same in all the parts of the artery. |
Subtopic: Bernoulli's Theorem |
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A block of wood is immersed in water (assume that the wood is impervious to water), and it floats half immersed. It is placed in an elevator which is accelerating upward. Then,
| 1. | the block floats, slightly more of it out of the water. |
| 2. | the block floats, slightly less of it out of the water. |
| 3. | the block floats, half-immersed. |
| 4. | the block sinks completely. |
Subtopic: Archimedes' Principle |
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A thin spherical shell of radius \(R,\) thickness \(t,\) made of a metal of density \(\large{\rho}_{\small{S}},\) floats half submerged in a vessel containing a liquid of density \(\large{\rho}_{\small{L}}.\) The ratio \(\dfrac{\large{\rho}_{\small{S}}}{\large{\rho}_{\small{L}}}\) is equal to:
| 1. | \(\dfrac{R}{6t}\) | 2. | \(\dfrac{R}{3t}\) |
| 3. | \(\dfrac{6t}{R}\) | 4. | \(\dfrac{3t}{R}\) |
Subtopic: Archimedes' Principle |
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A cube floats both in water and in a liquid of specific gravity of \(0.8\). Therefore,
| a. | the apparent weight of the cube is the same in water and in liquid. |
| b. | the cube has displaced an equal volume of water and liquid while floating. |
| c. | the cube has displaced an equal weight of water and liquid while floating. |
| d. | if some weights are placed on the top surface of the cube to make it just sink, the load in case of water will be \(0.8\) times of that to be used in case of liquid. |
| 1. | (a) and (c) both are correct. |
| 2. | only (d) is correct. |
| 3. | (a) and (b) both are correct. |
| 4. | (a), (b), and (c) are correct. |
Subtopic: Archimedes' Principle |
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A small tube containing air at atmospheric pressure (\(P=76\) cm of Hg) has a mercury column of the length of \(19\) cm. The tube is initially horizontal, then it is turned so that the open end is upward and the tube is vertical.
The length of the trapped air column:
| 1. | increases by \(10\) cm. |
| 2. | decrease by \(10\) cm. |
| 3. | increases by \(8\) cm. |
| 4. | decreases by \(8\) cm. |
Subtopic: Pressure |
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