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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: Acceleration due to Gravity |

73%

From NCERT

NEET - 2018

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The kinetic energies of a planet in an elliptical orbit around the Sun, at positions \(A,B~\text{and}~C\) are \(K_A, K_B~\text{and}~K_C\) respectively. \(AC\) is the major axis and \(SB\) is perpendicular to \(AC\) at the position of the Sun \(S\), as shown in the figure. Then:

1. | \(K_A <K_B< K_C\) | 2. | \(K_A >K_B> K_C\) |

3. | \(K_B <K_A< K_C\) | 4. | \(K_B >K_A> K_C\) |

Subtopic: Kepler's Laws |

76%

From NCERT

NEET - 2018

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If the acceleration due to gravity at a height \(1\) km above the earth is similar to a depth \(d\) below the surface of the earth, then:

1. \(d= 0.5\) km

2. \(d=1\) km

3. \(d=1.5\) km

4. \(d=2\) km

Subtopic: Acceleration due to Gravity |

74%

From NCERT

NEET - 2017

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Two astronauts are floating in a gravitational free space after having lost contact with their spaceship. The two will:

1. | keep floating at the same distance between them |

2. | move towards each other |

3. | move away from each other |

4. | will become stationary |

Subtopic: Satellite |

60%

From NCERT

NEET - 2017

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

(a)

(b)

(c)

(d)

Subtopic: Acceleration due to Gravity |

81%

From NCERT

NEET - 2016

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At what height from the surface of earth the gravitation potential and the value of g are $-5.4\times {10}^{7}J$ $k{g}^{-2}$ and $6.0$ $m{s}^{-2}$ respectively? (Take, the radius of earth as 6400 km.)

(a) 1600 km (b) 1400 km

(c) 2000 km (d) 2600 km

Subtopic: Gravitational Potential |

54%

NEET - 2016

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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: Acceleration due to Gravity |

86%

From NCERT

NEET - 2016

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A satellite of mass \(m\) is orbiting the earth (of radius \(R\)) at a height \(h\) from its surface. What is the total energy of the satellite in terms of \(g_0?\)

(\(g_0\) is the value of acceleration due to gravity at the earth's surface)

1. | \(\frac{mg_0R^2}{2(R+h)}\) | 2. | \(-\frac{mg_0R^2}{2(R+h)}\) |

3. | \(\frac{2mg_0R^2}{(R+h)}\) | 4. | \(-\frac{2mg_0R^2}{(R+h)}\) |

Subtopic: Gravitational Potential Energy |

77%

From NCERT

NEET - 2016

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At what height from the surface of the earth, the gravitation potential and the value of \(g\) are: \(-5.4 \times 10^7\) Jkg^{–2} and \(6.0~\text{ms}^{-2}\) respectively? (Take, the radius of earth as \(6400\) km.)

1. \(1600\) km

2. \(1400\) km

3. \(2000\) km

4. \(2600\) km

2. \(1400\) km

3. \(2000\) km

4. \(2600\) km

Subtopic: Gravitational Potential |

67%

From NCERT

NEET - 2016

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The ratio of escape velocity at earth \((v_e)\) to the escape velocity at a planet \((v_p)\) whose radius and mean density are twice that of the earth is:

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

2. \(1:4\)

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

4. \(1:2\)

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

2. \(1:4\)

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

4. \(1:2\)

Subtopic: Escape velocity |

70%

From NCERT

NEET - 2016

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