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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. \(2:5\)

1. \(5:2\)

2. \(3:5\)

3. \(5:3\)

4. \(2:5\)

Subtopic: Moment of Inertia |

62%

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 center of mass is:

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 |

83%

From NCERT

NEET - 2023

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Two objects of mass \(10~ \text {kg}\) and \(20~ \text{kg}\) respectively are connected to the two ends of a rigid rod of length \(10~ \text m\) with negligible mass. The distance of the center of mass of the system from the \(10 ~ \text{kg}\) mass is:

1. | \(5~ \text m\) | 2. | \(\frac{10}{3} \mathrm{~m}\) |

3. | \(\frac{20}{3} \mathrm{~m}\) | 4. | \(10~ \text m\) |

Subtopic: Center of Mass |

71%

From NCERT

NEET - 2022

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The angular speed of a flywheel moving with uniform angular acceleration changes from \(1200\) rpm to \(3120\) rpm in \(16\) s. The angular acceleration in rad/s² is:

1. \(104 \pi\)

2. \(2\pi\)

3. \(4\pi\)

4. \(12\pi\)

1. \(104 \pi\)

2. \(2\pi\)

3. \(4\pi\)

4. \(12\pi\)

Subtopic: Rotational Motion: Kinematics |

73%

From NCERT

NEET - 2022

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A shell of mass m is at rest initially. It explodes into three fragments having masses in the ratio \(2:2:1\). If the fragments having equal masses fly off along mutually perpendicular directions with speed \(v,\) the speed of the third (lighter) fragment is:

1. \(3 \sqrt{2} v\)

2. \(v\)

3. \(\sqrt{2} v\)

4. \(2 \sqrt{2} v\)

1. \(3 \sqrt{2} v\)

2. \(v\)

3. \(\sqrt{2} v\)

4. \(2 \sqrt{2} v\)

Subtopic: Linear Momentum |

68%

From NCERT

NEET - 2022

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The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is:

1. \(1:\sqrt{2}\)

2. \(2:1\)

3. \(\sqrt{2}:1\)

4. \(4:1\)

1. \(1:\sqrt{2}\)

2. \(2:1\)

3. \(\sqrt{2}:1\)

4. \(4:1\)

Subtopic: Moment of Inertia |

65%

From NCERT

NEET - 2022

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The ratio of the moments of inertia of two spheres about their diameter and having same mass and their radii in the ratio of \(1:2\) is:

1. \(2:1\)

2. \(4:1\)

3. \(1:2\)

4. \(1:4\)

Subtopic: Moment of Inertia |

80%

From NCERT

NEET - 2022

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A string is wrapped along the rim of a wheel of moment of inertia \(0.10\) kg-m^{2} and radius \(10\) cm. If the string is now pulled by a force \(10\) N, then the wheel starts to rotate about its axis from rest. The angular velocity of the wheel after \(2\) seconds is:

1. \(40\) rad/s

2. \(80\) rad/s

3. \(10\) rad/s

4. \(20\) rad/s

Subtopic: Rotational Motion: Dynamics |

76%

From NCERT

NEET - 2022

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