## Gravitation Practice Paper

Question 1 |

The radius and mass of earth are increased by 0.5%. Which of the following statements are true at the surface of the earth

Escape velocity will remain unchanged | |

g will decrease | |

g will increase | |

Potential energy will remain unchanged |

Question 2 |

A satellite

*S*is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of earthThe angular momentum of S about the centre of the earth changes in direction but its magnitude remains constant | |

The acceleration of S is always directed towards the centre of the earth | |

The total mechanical energy of S varies periodically with time | |

The linear momentum of S remains constant in magnitude |

Question 3 |

A mass

*M*is split into two parts, m and (*M–m*), which are then separated by a certain distance. What ratio of*m/M*maximizes the gravitational force between the two parts1/3 | |

1/2 | |

1/5 | |

1/4 |

Question 4 |

A geostationary satellite orbits around the earth in a circular orbit of radius 36000

*km*. Then, the time period of a satellite orbiting a few hundred kilometres above the earth’s surface (R_{Earth}= 6400 km) will approximately be1/2 h | |

1 h | |

2 h | |

4 h |

Question 5 |

If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would

Increase by 2% | |

Decrease by 2% | |

Remain unchanged | |

Increase by 1% |

Question 6 |

If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been

64.5 | |

182.5 | |

730 | |

129 |

Question 7 |

A body of mass

*m*is taken from earth surface to the height*h*equal to radius of earth, the increase in potential energy will be½ mgR | |

2 mgR | |

¼ mgR | |

mgR |

Question 8 |

A satellite is launched into a circular orbit of radius

*R*around the earth. A second satellite is launched into an orbit of radius (1.01)*R*. The period of the second satellite is larger than that of the first one by approximately1.5% | |

0.5% | |

1.0% | |

3.0% |

There are 8 questions to complete.

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