## Gravitation Practice Paper

Question 1 |

Mass

*M*is divided into two parts*xM*and (1 – x)M. For a given separation, the value of*x*for which the gravitational attraction between the two pieces becomes maximum is1 | |

1/2 | |

2 | |

3/5 |

Question 2 |

At what height over the earth's pole, the free fall acceleration decreases by one percent (assume the radius of earth to be 6400

*km*)80 km | |

32 km | |

64 km | |

1.253 km |

Question 3 |

Hubble's law states that the velocity with which milky way is moving away from the earth is proportional to

Mass of the milky way | |

Distance of milky way from the earth | |

Product of the mass of the milky way and its distance from the earth | |

Square of the distance of the milky way from the earth |

Question 4 |

Gravitational mass is proportional to gravitational

All of these | |

Field | |

Force | |

Intensity |

Question 5 |

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 | |

1/5 | |

1/2 | |

1/4 |

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

182.5 | |

730 | |

129 | |

64.5 |

Question 7 |

If there were a smaller gravitational effect, which of the following forces do you think would alter in some respect

Electrostatic force | |

Archimedes uplift | |

Viscous forces | |

None of these |

Question 8 |

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 be¼ mgR | |

2 mgR | |

½ mgR | |

mgR |

Question 9 |

Weightlessness experienced while orbiting the earth in space-ship, is the result of

Zero gravity | |

Free fall towards earth | |

Inertia | |

Acceleration |

Question 10 |

At what height from the ground will the value of ‘

*g*’ be the same as that in 10*km*deep mine below the surface of earth20 km | |

5 km | |

10 km | |

15 km |

Question 11 |

A body is projected vertically upwards from the surface of a planet of radius

*R*with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body isR/4 | |

R/3 | |

R/2 | |

R/5 |

Question 12 |

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% | |

1.0% | |

0.5% | |

3.0% |

Question 13 |

Earth is revolving around the sun if the distance of the Earth from the Sun is reduced to 1/4

^{th}of the present distance then the present day length reduced by1/6 | |

1/4 | |

1/2 | |

1/8 |

Question 14 |

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

Potential energy will remain unchanged | |

Escape velocity will remain unchanged | |

g will increase | |

g will decrease |

Question 15 |

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

Remain unchanged | |

Decrease by 2% | |

Increase by 1% | |

Increase by 2% |

Question 16 |

If the earth stops rotating, the value of ‘

*g*’ at the equator willRemain same | |

None of these | |

Increase | |

Decrease |

Question 17 |

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 total mechanical energy of S varies periodically with time | |

The 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 linear momentum of S remains constant in magnitude |

Question 18 |

A rocket is launched with velocity 10

*km*/*s*. If radius of earth is*R*, then maximum height attained by it will be3R | |

5R | |

4R | |

2R |

Question 19 |

A spring balance is graduated on sea level. If a body is weighed with this balance at consecutively increasing heights from earth's surface, the weight indicated by the balance

Will go on increasing continuously | |

Will go on decreasing continuously | |

Will first increase and then decrease | |

Will remain same |

Question 20 |

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 h | |

1/2 h | |

2 h | |

4 h |

There are 20 questions to complete.

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