A rocket is fired vertically upward with a speed of \(\dfrac{v_e}{\sqrt2}\) from the earth's surface, where \(v_e\) is escape velocity on the surface of earth. The distance from the surface of earth upto which the rocket can go before returning to the earth is

(Given radius of earth \(=6400~\text{km}\) ):

(Given radius of earth \(=6400~\text{km}\) ):

1. | \(1600~\text{km}\) | 2. | \(3200~\text{km}\) |

3. | \(6400~\text{km}\) | 4. | \(12800~\text{km}\) |

Subtopic: Â Escape velocity |

Â 60%

From NCERT

NEET - 2024

Please attempt this question first.

Hints

Please attempt this question first.

The escape velocity for Earth is \(v.\) A planet having \(9\) times the mass of Earth and a radius, \(16\) times that of Earth, has the escape velocity of:

1. | \(\dfrac{v}{3}\) | 2. | \(\dfrac{2v}{3}\) |

3. | \(\dfrac{3v}{4}\) | 4. | \(\dfrac{9v}{4}\) |

Subtopic: Â Escape velocity |

Â 77%

From NCERT

NEET - 2024

Please attempt this question first.

Hints

Please attempt this question first.

The escape velocity of a body on the earth's surface is \(11.2\) km/s. If the same body is projected upward with a velocity \(22.4\) km/s, the velocity of this body at infinite distance from the center of the earth will be:

1. | \(11.2\sqrt2\) km/s | 2. | zero |

3. | \(11.2\) km/s | 4. | \(11.2\sqrt3\) km/s |

Subtopic: Â Escape velocity |

From NCERT

NEET - 2023

Please attempt this question first.

Hints

Please attempt this question first.

The escape velocity from the Earth's surface is \(v\). The escape velocity from the surface of another planet having a radius, four times that of Earth and the same mass density is:

1. | \(3v\) | 2. | \(4v\) |

3. | \(v\) | 4. | \(2v\) |

Subtopic: Â Escape velocity |

Â 59%

From NCERT

NEET - 2021

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 particle of mass \(m\) is projected with a velocity, \(v=kV_{e} ~(k<1)\) from the surface of the earth. The maximum height, above the surface, reached by the particle is: (Where \(V_e=\) escape velocity, \(R=\) radius of the earth)

1. | \(\dfrac{R^{2}k}{1+k}\) | 2. | \(\dfrac{Rk^{2}}{1-k^{2}}\) |

3. | \(R\left ( \dfrac{k}{1-k} \right )^{2}\) | 4. | \(R\left ( \dfrac{k}{1+k} \right )^{2}\) |

Subtopic: Â Escape velocity |

Â 58%

From NCERT

NEET - 2021

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