## Gravitation Practice Paper

Question 1 |

Who among the following gave first the experimental value of

*G*?Copernicus | |

None of these | |

Brook Teylor | |

Cavendish |

Question 2 |

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 earth15 km | |

10 km | |

20 km | |

5 km |

Question 3 |

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/3 | |

R/2 | |

R/5 | |

R/4 |

Question 4 |

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

730 | |

129 | |

64.5 | |

182.5 |

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 parts1/4 | |

1/5 | |

1/2 | |

1/3 |

Question 6 |

A rocket is launched with velocity 10

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

2R | |

5R | |

4R |

Question 7 |

The weight of a body at the centre of the earth is

Same as on the surface of earth | |

None of these | |

Zero | |

Infinite |

Question 8 |

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 9 |

The force of gravitation is

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Conservative | |

Repulsive | |

Electrostatic | |

Non-conservative |

Question 10 |

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*)1.253 km | |

64 km | |

32 km | |

80 km |

Question 11 |

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

g will increase | |

Potential energy will remain unchanged | |

Escape velocity will remain unchanged | |

g will decrease |

Question 12 |

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 is3/5 | |

1 | |

1/2 | |

2 |

Question 13 |

The atmosphere is held to the earth by

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Gravity | |

Clouds | |

Winds | |

None of these |

Question 14 |

If the earth stops rotating, the value of ‘

*g*’ at the equator willIncrease | |

None of these | |

Decrease | |

Remain same |

Question 15 |

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 remain same | |

Will go on decreasing continuously | |

Will go on increasing continuously | |

Will first increase and then decrease |

Question 16 |

Gravitational mass is proportional to gravitational

Intensity | |

Field | |

Force | |

All of these |

Question 17 |

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 approximately0.5% | |

1.0% | |

1.5% | |

3.0% |

Question 18 |

If a force ‘f’ action on a mass ‘m’ produces acceleration ‘a’ then as per Newton’s second law of motion :

f = a/m | |

m = af | |

f = m/a | |

f = ma |

Question 19 |

The tidal waves in the sea are primarily due to

The gravitational effect of the sun on the earth | |

The gravitational effect of venus on the earth | |

The gravitational effect of the moon on the earth | |

The atmospheric effect of the earth itself |

Question 20 |

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 by1/2 | |

1/4 | |

1/8 | |

1/6 |

Question 21 |

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

Zero gravity | |

Free fall towards earth | |

Acceleration | |

Inertia |

Question 22 |

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 | |

2 h | |

4 h | |

1/2 h |

Question 23 |

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

None of these | |

Archimedes uplift | |

Viscous forces | |

Electrostatic force |

Question 24 |

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

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

Mass of the milky way | |

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

Distance of milky way from the earth |

Question 25 |

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 be2 mgR | |

¼ mgR | |

mgR | |

½ mgR |

Question 26 |

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 | |

Increase by 2% | |

Increase by 1% | |

Decrease by 2% |

There are 26 questions to complete.

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