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A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is \(v\) in the direction shown, which one of the following options is correct (\(P\) and \(Q\) are any highest and lowest points on the wheel, respectively)?

1. | Point \(P\) moves faster than point \(Q\). |

2. | Both the points \(P\) and \(Q\) move with equal speed. |

3. | Point \(P\) has zero speed. |

4. | Point \(P\) moves slower than point \(Q\). |

Subtopic: Rolling Motion (OLD NCERT) |

52%

From NCERT

NEET - 2024

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The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is \(2400 ~\text{g cm}^2.\) The length of the \(400~\text{g}\) rod is nearly:

1. | \(17.5~\text{cm}\) | 2. | \(20.7~\text{cm}\) |

3. | \(72.0~\text{cm}\) | 4. | \(8.5~\text{cm}\) |

Subtopic: Moment of Inertia |

59%

From NCERT

NEET - 2024

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Consider a thin circular ring (A), a circular disc (B), a hollow Cylinder (C) and a solid cylinder (D) of the same radius R and of same mass:

If \(I_A, I_B, I_C \) and \(I_D\) are their moments of inertia about the axis shown, then:

Choose the correct answer from the options given below:

(A) | (B) |

(C) | (D) |

Choose the correct answer from the options given below:

1. | \({I}_A={I}_C~ \text{and} ~2{I}_B={I}_D\) |

2. | \(I_A=2 I_B~ \text{and} ~2 I_C=I_D \) |

3. | \(2 I_A=I_C~ \text{and} ~I_B=2 I_D\) |

4. | \({I}_{{A}}={I}_B={I}_C=2 {I}_{{D}}\) |

Subtopic: Moment of Inertia |

60%

From NCERT

NEET - 2024

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A body of mass \(6~\text{kg}\) is moving from its initial position \(A\) to the next position \(B\) as shown in figure. From \(A\) to \(B\), the value of momentum of the body is: (in SI unit)

1. \(24\)

2. \(12\)

3. \(8\)

4. \(6\)

1. \(24\)

2. \(12\)

3. \(8\)

4. \(6\)

Subtopic: Linear Momentum |

54%

From NCERT

NEET - 2024

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The radius of gyration of a solid sphere of mass \(5~\text{kg}\) about \(XY\) is \(5~\text m\) as shown in the figure. The radius of the sphere is \(\frac{5x}{\sqrt{7}}~\text m,\)then the value of \(x\) is:

1. \(5\)

2. \(\sqrt{2}\)

3. \(\sqrt{3}\)

4. \(\sqrt{5}\)

1. \(5\)

2. \(\sqrt{2}\)

3. \(\sqrt{3}\)

4. \(\sqrt{5}\)

Subtopic: Moment of Inertia |

67%

From NCERT

NEET - 2024

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Let \(\omega_{1},\omega_{2}\) and \(\omega_{3}\) be the angular speed of the second hand, minute hand, and hour hand of a smoothly running analog clock, respectively. If \(x_{1},x_{2}\) and \(x_{3}\) are their respective angular distance in \(1\) minute then the factor which remains constant \((k)\) is:

1. \(\frac{\omega_1}{x_1}\text=\frac{\omega_2}{x_2}\text=\frac{\omega_3}{x_3}\text={k}\)

2. \(\omega_{1}x_{1}\text=\omega_{2}x_{2}\text=\omega_{3}x_{3}\text={k}\)

3. \(\omega_{1}x_{1}^{2}\text=\omega_{2}x_{2}^{2}\text=\omega_{3}x_{3}^{2}\text={k}\)

4. \(\omega_{1}^{2}x_{1}\text=\omega_{2}^{2}x_{2}\text=\omega_{3}^{2}x_{3}\text={k}\)

1. \(\frac{\omega_1}{x_1}\text=\frac{\omega_2}{x_2}\text=\frac{\omega_3}{x_3}\text={k}\)

2. \(\omega_{1}x_{1}\text=\omega_{2}x_{2}\text=\omega_{3}x_{3}\text={k}\)

3. \(\omega_{1}x_{1}^{2}\text=\omega_{2}x_{2}^{2}\text=\omega_{3}x_{3}^{2}\text={k}\)

4. \(\omega_{1}^{2}x_{1}\text=\omega_{2}^{2}x_{2}\text=\omega_{3}^{2}x_{3}\text={k}\)

Subtopic: Rotational Motion: Kinematics |

51%

From NCERT

NEET - 2024

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The ratio of radius of gyration of a solid sphere of mass \(M\) and radius \(R\) about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is:

1. | \(5:2\) | 2. | \(3:5\) |

3. | \(5:3\) | 4. | \(2:5\) |

Subtopic: Moment of Inertia |

63%

From NCERT

NEET - 2023

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The angular acceleration of a body, moving along the circumference of a circle, is:

1. | along the axis of rotation |

2. | along the radius, away from centre |

3. | along the radius towards the centre |

4. | along the tangent to its position |

Subtopic: Rotational Motion: Kinematics |

From NCERT

NEET - 2023

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Two particles \(A\) and \(B\) initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of \(A\) is \(v\) and speed of \(B\) is \(3v,\) the speed of the centre-of-mass will be:

1. \(2v\)

2. zero

3. \(v\)

4. \(4v\)

1. \(2v\)

2. zero

3. \(v\)

4. \(4v\)

Subtopic: Center of Mass |

69%

From NCERT

NEET - 2023

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A constant torque of \(100\) N-m turns a wheel of moment of inertia \(300\) kg-m^{2} about an axis passing through its centre. Starting from rest, its angular velocity after \(3\) s is:

1. \(1\) rad/s

2. \(5\) rad/s

3. \(10\) rad/s

4. \(15\) rad/s

1. \(1\) rad/s

2. \(5\) rad/s

3. \(10\) rad/s

4. \(15\) rad/s

Subtopic: Rotational Motion: Kinematics |

80%

From NCERT

NEET - 2023

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