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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. \(p+\dfrac12\rho v^2+\rho gh\text{=constant}\)

2. \(p+\dfrac12\rho v^2\text{=constant}\)

3. \(\dfrac12\rho v^2+\rho gh\text{=constant}\)

4. \(p+\rho gh\text{=constant}\)

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 |

60%

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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. | \(A\) and \(B\) is same. | pressure on the base area of vessels

2. | \(A\) and \(B\) is not same. | pressure on the base area of vessels

3. | \(A\) and \(B\) weigh the same. | both vessels

4. | \(B\) weighs twice that of \(A\). | vessel

Subtopic: Pressure |

69%

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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%

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NEET - 2022

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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 |

73%

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NEET - 2022

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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 |

71%

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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

1. is equal to the atmospheric pressure

2. decreases

3. increases

4. remains the same

Subtopic: Surface Tension |

68%

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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 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 \(0.03~\text{Nm}^{-1})\)

\((\)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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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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