Starting from the centre of the earth, having radius \(R,\) the variation of \(g\) (acceleration due to gravity) is shown by:

1. | 2. | ||

3. | 4. |

Subtopic: Â Acceleration due to Gravity |

Â 86%

From NCERT

NEET - 2016

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What is the depth at which the value of acceleration due to gravity becomes \(\dfrac{1}{{n}}\) times it's value at the surface of the earth? (radius of the earth = \(\mathrm{R}\))

1. | \(\dfrac R {n^2}\) | 2. | \(\dfrac {R~(n-1)} n\) |

3. | \(\dfrac {Rn} { (n-1)}\) | 4. | \(\dfrac R n\) |

Subtopic: Â Acceleration due to Gravity |

Â 83%

From NCERT

NEET - 2020

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Radii and densities of two planets are \(R_1, R_2\) and \(\rho_1, \rho_2\) respectively. The ratio of accelerations due to gravity on their surfaces is:

1. \(\frac{\rho_1}{R_1}:\frac{\rho_2}{R_2}\)

2. \(\frac{\rho_1}{R^2_1}: \frac{\rho_2}{R^2_2}\)

3. \(\rho_1 R_1 : \rho_2R_2\)

4. \(\frac{1}{\rho_1R_1}:\frac{1}{\rho_2R_2}\)

Subtopic: Â Acceleration due to Gravity |

Â 83%

From NCERT

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Imagine a new planet having the same density as that of the Earth but \(3\) times bigger than the Earth in size. If the acceleration due to gravity on the surface of the earth is \(g\) and that on the surface of the new planet is \(g'\), then:

1. | \(g' = 3g\) | 2. | \(g' = 9g\) |

3. | \(g' = \frac{g}{9}\) | 4. | \(g' = 27g\) |

Subtopic: Â Acceleration due to Gravity |

Â 81%

From NCERT

AIPMT - 2005

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\(1\) kg of sugar has maximum weight:

1. at the pole.

2. at the equator.

3. at a latitude of \(45^{\circ}.\)

4. in India.

Subtopic: Â Acceleration due to Gravity |

Â 80%

From NCERT

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A body weighs \(200\) N on the surface of the earth. How much will it weigh halfway down the centre of the earth?

1. | \(100\) N | 2. | \(150\) N |

3. | \(200\) N | 4. | \(250\) N |

Subtopic: Â Acceleration due to Gravity |

Â 80%

From NCERT

NEET - 2019

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The value of acceleration due to gravity at a height of \(800\) km from the surface of the earth (radius of the earth is \(6400\) km and value of acceleration due to gravity on the earth's surface is \(981\) cm/${\mathrm{s}}^{2}$) is:

1. | \(775 ~\text{cm/s}^2 \) | 2. | \(872 ~\text{cm/s}^2 \) |

3. | \(981 ~\text{cm/s}^2 \) | 4. | \(\text{zero}\) |

Subtopic: Â Acceleration due to Gravity |

Â 71%

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If the mass of the sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following statements would not be correct?

1. | Raindrops would drop faster. |

2. | Walking on the ground would become more difficult. |

3. | Time period of a simple pendulum on the earth would decrease. |

4. | Acceleration due to gravity \((g)\) on earth would not change. |

Subtopic: Â Acceleration due to Gravity |

Â 73%

From NCERT

NEET - 2018

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For moon, its mass is \(\frac{1}{81}\) of Earth's mass and its diameter is \(\frac{1}{3.7}\) of Earth's diameter. If acceleration due to gravity at Earth's surface is \(9.8\) m/${s}^{2}$, then at the moon, its value is:

1. | \(2.86\) m/s^{2} |
2. | \(1.65\) m/s^{2} |

3. | \(8.65\) m/s^{2} |
4. | \(5.16\) m/s^{2} |

Subtopic: Â Acceleration due to Gravity |

Â 70%

From NCERT

AIPMT - 1999

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