Select Chapter Topics:

Which of the following points is the likely position of the center of mass of the system shown in the figure?

1. \(A\)

2. \(B\)

3. \(C\)

4. \(D\)

Subtopic: Center of Mass |

74%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

Links

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

In the \(\mathrm{HCl}\) molecule, the separation between the nuclei of the two atoms is about \(1.27~\mathring{\text A}~(1~\mathring{\text A}=10^{10}~\text m).\) Then the approximate location of the CM of the molecule is:

(Given that a chlorine atom is about \(35.5\) times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus).

1. | \(1.235~\mathring{\text A}\) from \(\mathrm{H-}\)atom |

2. | \(2.41~\mathring{\text A}\) from \(\mathrm{Cl-}\)atom |

3. | \(3.40~\mathring{\text A}\) from \(\mathrm{Cl-}\)atom |

4. | \(1.07~\mathring{\text A}\) from \(\mathrm{H-}\)atom |

Subtopic: Center of Mass |

61%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

Links

Two blocks are joined by a light spring of spring constant, \(k=1000\) N/m, and are placed at rest on a horizontal frictionless table. A horizontal force of \(6\) N acts on the \(2\) kg block. The acceleration of the centre-of-mass of the system is:

1. \(3\) m/s^{2}

2. \(2\) m/s^{2}

3. \(1.5\) m/s^{2}

4. \(4.5\) m/s^{2}

1. \(3\) m/s

2. \(2\) m/s

3. \(1.5\) m/s

4. \(4.5\) m/s

Subtopic: Center of Mass |

73%

From NCERT

Please attempt this question first.

Hints

Please attempt this question first.

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

Please attempt this question first.

Hints

Please attempt this question first.

For a body, with angular velocity \( \vec{\omega }=\hat{i}-2\hat{j}+3\hat{k}\) and radius vector \( \vec{r }=\hat{i}+\hat{j}++\hat{k},\) its velocity will be:

1. \(-5\hat{i}+2\hat{j}+3\hat{k}\)

2. \(-5\hat{i}+2\hat{j}-3\hat{k}\)

3. \(-5\hat{i}-2\hat{j}+3\hat{k}\)

4. \(-5\hat{i}-2\hat{j}-3\hat{k}\)

Subtopic: Rotational Motion: Kinematics |

69%

From NCERT

AIPMT - 1999

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

Links

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

A body is in pure rotation. The linear speed \(v\) of a particle, the distance \(r\) of the particle from the axis and the angular velocity \(\omega\) of the body are related as \(w=\dfrac{v}{r}\). Thus:

1. \(w\propto\dfrac{1}{r}\)

2. \(w\propto\ r\)

3. \(w=0\)

4. \(w\) is independent of \(r\)

Subtopic: Rotational Motion: Kinematics |

61%

From NCERT

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

Links

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

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 |

74%

From NCERT

NEET - 2022

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

If \(\vec F\) is the force acting on a particle having position vector \(\vec r\) and \(\vec \tau\) be the torque of this force about the origin, then:

1. | \(\vec r\cdot\vec \tau\neq0\text{ and }\vec F\cdot\vec \tau=0\) |

2. | \(\vec r\cdot\vec \tau>0\text{ and }\vec F\cdot\vec \tau<0\) |

3. | \(\vec r\cdot\vec \tau=0\text{ and }\vec F\cdot\vec \tau=0\) |

4. | \(\vec r\cdot\vec \tau=0\text{ and }\vec F\cdot\vec \tau\neq0\) |

Subtopic: Torque |

82%

From NCERT

AIPMT - 2009

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

Links

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

A block \(A\) is pushed on a smooth horizontal plane by applying a horizontal force \(F ,\) which causes an acceleration of \({\dfrac g 4}\) (\(g\): acceleration due to gravity). The block does not topple, even though the force acts at its highest point. The normal reaction shifts forward by:

1. | \({\dfrac b 2}\) | 2. | \({ \dfrac b 4}\) |

3. | \({\dfrac b 8}\) | 4. | \(\dfrac b 3\) |

Subtopic: Torque |

From NCERT

Please attempt this question first.

Hints

Please attempt this question first.

A particle of mass *\(m\)* moves in the XY plane with a velocity *\(v\)* along the straight line AB. If the angular momentum of the particle with respect to the origin *\(O\)* is *\(L_A\)* when it is at *\(A\)* and *\(L_B\)* when it is at \(B,\) then:

1. | \(L_A>L_B\) |

2. | \(L_A=L_B\) |

3. | the relationship between \(L_A\) and \(L_B\) depends upon the slope of the line \(AB.\) |

4. | \(L_A<L_B\) |

Subtopic: Angular Momentum |

69%

From NCERT

AIPMT - 2007

To view explanation, please take trial in the course.

NEET 2025 - Target Batch

Hints

Links

To view explanation, please take trial in the course.

NEET 2025 - Target Batch