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Q. No.A wire of length \(L\) and radius \(r(r<<L)\) is kept floating on the surface of a liquid of density \(\rho\). The maximum radius of the wire for which it may not sink is (Surface tension of liquid is \(T\)):
1. \(\sqrt { \frac{T}{\rho g}}\)
2. \(\sqrt { \frac{2T}{\rho g}}\)
3. \(\sqrt{\frac{2T\rho}{\pi g}}\)
4. \(\sqrt{\frac{2T} {\pi \rho g}}\)
Subtopic: Surface Tension |
52%
From NCERT
NEET - 2024
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The pressure experienced by a swimmer \(20~\text{m}\) below the water surface in a lake is appropriately
[Given density of water = \(10^3 ~\text{kgm}^{-3}, g=10 ~\text{ms}^{-2} \) and \(1~\text{atm} = 10^5~\text{Pa}\)]:
1. \(1~\text{atm}\)
2. \(2~\text{atm}\)
3. \(3~\text{atm}\)
4. \(4~\text{atm}\)
[Given density of water = \(10^3 ~\text{kgm}^{-3}, g=10 ~\text{ms}^{-2} \) and \(1~\text{atm} = 10^5~\text{Pa}\)]:
1. \(1~\text{atm}\)
2. \(2~\text{atm}\)
3. \(3~\text{atm}\)
4. \(4~\text{atm}\)
Subtopic: Pressure |
61%
From NCERT
NEET - 2024
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A thin flat circular disc of radius \(4.5~\text {cm}\) is placed gently over the surface of water. If surface tension of water is \(0.07~\text{Nm}^{-1},\) then the excess force required to take it away from the surface is:
1. \(198~\text{N}\)
2. \(1.98~\text{mN}\)
3. \(99~\text{N}\)
4. \(19.8~\text{mN}\)
1. \(198~\text{N}\)
2. \(1.98~\text{mN}\)
3. \(99~\text{N}\)
4. \(19.8~\text{mN}\)
Subtopic: Surface Tension |
From NCERT
NEET - 2024
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The viscous drag acting on a metal sphere of diameter \(1\) mm, falling through a fluid of viscosity \(0.8\) Pa-s with a velocity of \(2\) ms–1 is nearly equal to:
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. \(15\times 10^{-3}~\text{N}\)
2. \(30\times 10^{-3}~\text{N}\)
3. \(1.5\times 10^{-3}~\text{N}\)
4. \(20\times 10^{-3}~\text{N}\)
Subtopic: Stokes' Law |
59%
From NCERT
NEET - 2023
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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 |
68%
From NCERT
NEET - 2023
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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 |
58%
From NCERT
NEET - 2023
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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 |
81%
From NCERT
NEET - 2023
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The terminal velocity of a copper ball of radius \(5~\text{mm}\) falling through a tank of oil at room temperature is \(10~\text{cm}~\text{s}^{-1}\) . If the viscosity of oil at room temperature is \(0.9~\text{kg}~\text{m}^{-1}~\text{s}^{-1}\), 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 |
64%
From NCERT
NEET - 2022
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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 |
68%
From NCERT
NEET - 2022
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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 |
60%
From NCERT
NEET - 2022
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