Medical Sample papers

Newton’s Law of Gravitation Problems

gravitation questions

Gravitation Practice Paper

Question 1
Who among the following gave first the experimental value of G?
A
Copernicus
B
None of these
C
Brook Teylor
D
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 earth

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A
15 km
B
10 km
C
20 km
D
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 is
A
R/3
B
R/2
C
R/5
D
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
A
730
B
129
C
64.5
D
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 parts
A
1/4
B
1/5
C
1/2
D
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 be
A
3R
B
2R
C
5R
D
4R
Question 7
The weight of a body at the centre of the earth is
A
Same as on the surface of earth
B
None of these
C
Zero
D
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 earth
A
The angular momentum of S about the centre of the earth changes in direction but its magnitude remains constant
B
The acceleration of S is always directed towards the centre of the earth
C
The total mechanical energy of S varies periodically with time
D
The linear momentum of S remains constant in magnitude
Question 9
The force of gravitation is

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A
Conservative
B
Repulsive
C
Electrostatic
D
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)
A
1.253 km
B
64 km
C
32 km
D
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
A
g will increase
B
Potential energy will remain unchanged
C
Escape velocity will remain unchanged
D
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 is
A
3/5
B
1
C
1/2
D
2
Question 13
The atmosphere is held to the earth by

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A
Gravity
B
Clouds
C
Winds
D
None of these
Question 14
If the earth stops rotating, the value of ‘g’ at the equator will

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A
Increase
B
None of these
C
Decrease
D
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
A
Will remain same
B
Will go on decreasing continuously
C
Will go on increasing continuously
D
Will first increase and then decrease
Question 16
Gravitational mass is proportional to gravitational
A
Intensity
B
Field
C
Force
D
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 approximately
A
0.5%
B
1.0%
C
1.5%
D
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 :
A
f = a/m
B
m = af
C
f = m/a
D
f = ma
Question 19
The tidal waves in the sea are primarily due to
A
The gravitational effect of the sun on the earth
B
The gravitational effect of venus on the earth
C
The gravitational effect of the moon on the earth
D
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 1/4th of the present distance then the present day length reduced by
A
1/2
B
1/4
C
1/8
D
1/6
Question 21
Weightlessness experienced while orbiting the earth in space-ship, is the result of
A
Zero gravity
B
Free fall towards earth
C
Acceleration
D
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 (REarth = 6400 km) will approximately be
A
1 h
B
2 h
C
4 h
D
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

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A
None of these
B
Archimedes uplift
C
Viscous forces
D
Electrostatic force
Question 24
Hubble's law states that the velocity with which milky way is moving away from the earth is proportional to
A
Product of the mass of the milky way and its distance from the earth
B
Mass of the milky way
C
Square of the distance of the milky way from the earth
D
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 be

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A
2 mgR
B
¼ mgR
C
mgR
D
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
A
Remain unchanged
B
Increase by 2%
C
Increase by 1%
D
Decrease by 2%
There are 26 questions to complete.
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Vishal Arora

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