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Q. No.The radius of a soap bubble is \(R.\) The surface tension of the soap solution is \(T,\) if the radius of the soap bubble is increased to \(3R\) then the energy required is:
(consider no loss anywhere)
1. \(64\pi R^{2}T\)
2. \(9\pi R^{2}T\)
3. \(32\pi R^{2}T\)
4. \(72\pi R^{2}T\)
Subtopic: Surface Tension |
65%
Level 2: 60%+
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In a vertical capillary of height \(3h,\) water rises upto height \(h.\) If the capillary is tilted at \(30^\circ\) with horizontal, then the height upto which water will rise becomes:
1. \(3h\)
2. \(2h\)
3. \(h\)
4. \(\dfrac {3h} 2\)
1. \(3h\)
2. \(2h\)
3. \(h\)
4. \(\dfrac {3h} 2\)
Subtopic: Capillary Rise |
Level 4: Below 35%
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A long capillary tube with a radius of \(1\) mm, open at both ends, is filled with water and placed vertically. What will be the height of the column of water left in the capillary? The thickness of the capillary walls is negligible, and the surface tension of water is \(70\) dyne/cm.
1. \(2.5~\text{cm}\)
2. \(2.8~\text{cm}\)
3. \(3.0~\text{cm}\)
4. \(3.2~\text{cm}\)
1. \(2.5~\text{cm}\)
2. \(2.8~\text{cm}\)
3. \(3.0~\text{cm}\)
4. \(3.2~\text{cm}\)
Subtopic: Capillary Rise |
74%
Level 2: 60%+
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Choose the incorrect statement:
| 1. | Soap bubbles have two air-liquid interfaces. |
| 2. | Liquid drops have one air-liquid interface. |
| 3. | Air cavity inside a liquid has one air-liquid interface. |
| 4. | Air cavity inside a liquid has two air-liquid interfaces. |
Subtopic: Surface Tension |
74%
Level 2: 60%+
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A small sphere of density \(\rho\) is completely submerged in a liquid of density \(3\rho\) and released. The magnitude of its acceleration just after release equals:
1. \(g\)
2. \(\dfrac{g}{3}\)
3. \(2g\)
4. \(3g\)
1. \(g\)
2. \(\dfrac{g}{3}\)
3. \(2g\)
4. \(3g\)
Subtopic: Archimedes' Principle |
62%
Level 2: 60%+
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When water flows out of a small hole at the bottom of a large tank of uniform cross-section, the average flow rate equals the average of the initial and the final flow rate. The time to empty the tank is \(1~\text{hr},\) using a small pipe at the bottom. If the tank were to be filled to twice its previous level, the time required will be:
1. \(1~\text{hr}\)
2. \(\sqrt2~\text{hr}\)
3. \(2~\text{hr}\)
4. \(4~\text{hr}\)
1. \(1~\text{hr}\)
2. \(\sqrt2~\text{hr}\)
3. \(2~\text{hr}\)
4. \(4~\text{hr}\)
Subtopic: Bernoulli's Theorem |
74%
Level 2: 60%+
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A tank full of water is placed in an elevator. The elevator accelerates upward. The water pressure at the bottom of the tank:
1. decreases
2. increases
3. remains unchanged
4. first increases and then decreases
1. decreases
2. increases
3. remains unchanged
4. first increases and then decreases
Subtopic: Pressure |
78%
Level 2: 60%+
Hints
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
1. is equal to the atmospheric pressure
2. decreases
3. increases
4. remains the same
Subtopic: Surface Tension |
70%
Level 2: 60%+
NEET - 2022
Hints
A spherical ball is dropped into a long column of a highly viscous liquid. The graph that represents the speed of the ball \((v)\) as a function of time \((t)\) is:
| 1. | \(D\) | 2. | \(A\) |
| 3. | \(B\) | 4. | \(C\) |
Subtopic: Viscosity |
73%
Level 2: 60%+
NEET - 2022
Hints
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 |
76%
Level 2: 60%+
NEET - 2022
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