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Practice QuestionsMCQ (Single Correct Answer)
1
The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 year on Mercury?
NEET 2025
2
A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is:
NEET 2025
3
The escape velocity for earth is $$v$$. A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:
NEET 2024 (Re-Examination)
4
An object of mass $$100 \mathrm{~kg}$$ falls from point $$A$$ to $$B$$ as shown in figure. The change in its weight, corrected to the nearest integer is ($$R_E$$ is the radius of the earth)
NEET 2024 (Re-Examination)
5
The mass of a planet is $$\frac{1}{10}$$th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:
NEET 2024
6
The minimum energy required to launch a satellite of mass $$m$$ from the surface of earth of mass $$M$$ and radius $$R$$ in a circular orbit at an altitude of $$2 R$$ from the surface of the earth is:
NEET 2024
7
The escape velocity of a body on the earth surface is $$11.2 \mathrm{~km} / \mathrm{s}$$. If the same body is projected upward with velocity $$22.4 \mathrm{~km} / \mathrm{s}$$, the velocity of this body at infinite distance from the centre of the earth will be:
NEET 2023 Manipur
8
If $$\mathrm{R}$$ is the radius of the earth and $$\mathrm{g}$$ is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be :
NEET 2023 Manipur
9
Two bodies of mass $$m$$ and $$9 m$$ are placed at a distance $$R$$. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be ($$G=$$ gravitational constant) :
NEET 2023
10
A satellite is orbiting just above the surface of the earth with period $$T$$. If $$d$$ is the density of the earth and $$G$$ is the universal constant of gravitation, the quantity $$\frac{3 \pi}{G d}$$ represents :
NEET 2023
11
A gravitational field is present in a region and a mass is shifted from A to B through different paths as shown. If W1, W2 and W3 represent the work done by the gravitational force along the respective paths, then :
NEET 2022 Phase 2
12
In a gravitational field, the gravitational potential is given by, $$V = - {K \over x}$$ (J/Kg). The gravitational field intensity at point (2, 0, 3) m is
NEET 2022 Phase 2
13
A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is
NEET 2022 Phase 1
14
Match List - I with List - II
| List - I | List - II | ||
|---|---|---|---|
| (a) | Gravitational constant (G) | (i) | $$[{L^2}{T^{ - 2}}]$$ |
| (b) | Gravitational potential energy | (ii) | $$[{M^{ - 1}}{L^3}{T^{ - 2}}]$$ |
| (c) | Gravitational potential | (iii) | $$[L{T^{ - 2}}]$$ |
| (d) | Gravitational intensity | (iv) | $$[M{L^2}{T^{ - 2}}]$$ |
Choose the correct answer from the options given below
NEET 2022 Phase 1
15
The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is :
NEET 2021
16
A particle of mass 'm' is projected with a velocity $$\upsilon $$ = kVe = (k < 1) from the surface of the earth. (Ve = escape velocity)
The maximum height above the surface reached by the particle is :
The maximum height above the surface reached by the particle is :
NEET 2021
17
A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth?
NEET 2020 Phase 1
18
The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is :
NEET 2019
19
A body weight 200 N on the surface of earth. How much will it weight half way down to the centre of the earth?
NEET 2019
20
The kinetic energies of
a planet in an elliptical
orbit about the Sun, at
positions A, B and C are
KA, KB and KC, 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
NEET 2018
21
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 is not correct?
NEET 2018
22
Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will
NEET 2017
23
The acceleration due to gravity at a height at a height 1 km above the rearth is the same as at a depth d below the surface of earth. Then
NEET 2017
24
A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g0, the value of acceleration due to gravity at the earth's surface, is
NEET 2016 Phase 2
25
Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by
NEET 2016 Phase 2
26
At what height from the surface of earth the gravitation potential and the value of g are $$-$$5.4 $$ \times $$ 107 J kg$$-$$1 and 6.0 m s$$-$$2 respectively? Take the radius of earth as 6400 km.
NEET 2016 Phase 1
27
The ratio of escape velocity at earth (ve) to the escape velocity at a planet (vp) whose radius and mean density are twice as that of earth is
NEET 2016 Phase 1
28
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 the earth. Then,
AIPMT 2015
29
A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25 $$ \times $$ 106 m above the surface of earth. If earth's radius is 6.38 $$ \times $$ 106 m and g = 9.8 ms$$-$$2, then the orbital speed of the satellite is
AIPMT 2015
30
Kepler's third law states that square of period of revoluation (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet i.e. T2 = Kr3 here K is constant. If the masses of sun and planet are M and m respectively then as per Newton's law of gravitation force of attraction between them is F = $${{GMm} \over {{r^2}}}$$, here G is gravitational constant. The relation between G and K is described as
AIPMT 2015 Cancelled Paper
31
Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by
AIPMT 2014
32
A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 $$ \times $$ 1024 kg) have to be compressed to be a black hole?
AIPMT 2014
33
A particle of mass 'm' is kept at rest at a height 3R from the surface of earth, where 'R' is radius of earth and 'M' is mass of earth. The minimum speed with which it should be projected , so that it does not return back, is
(g is acceleration due to gravity on the surface of earth)
(g is acceleration due to gravity on the surface of earth)
NEET 2013 (Karnataka)
34
The radius of a planet is twice the radius of earth. Both have almost equal average mass densities. VP and VE are escape velocities of the planet and the earth, respectively, then
NEET 2013 (Karnataka)
35
Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1 m, 2 m, 4 m, 8 m, . . . , respectively, from the origin. The resulting gravitational potential due to this system at the origin will be
NEET 2013
36
A body of mass 'm' is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be
NEET 2013
37
Which one of the following plots represents the variation of gravitiational field on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell)
AIPMT 2012 Mains
38
If $${v_e}$$ is escape velocity and $${v_o}$$ is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by
AIPMT 2012 Mains
39
A geostationary satellite is orbiting the earth at a height of 5R above the surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is
AIPMT 2012 Prelims
40
A spherical planet has a mass MP and diameter DP. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to
AIPMT 2012 Prelims
41
The height at which the weight of a body becomes $${\left( {{1 \over {16}}} \right)^{th}}$$, its weight on the surface of earth (radius R), is
AIPMT 2012 Prelims
42
A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :
AIPMT 2011 Mains
43
A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is
AIPMT 2011 Mains
44
A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If $$v$$1 and $$v$$2 are the linear velocities at these points respectively, then the ratio $${{{v_1}} \over {{v_2}}}$$ is
AIPMT 2011 Prelims
45
The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below
The correct figure is
The correct figure is
AIPMT 2010 Mains
46
(1) Centre of gravity (C.G) of a body is the point at which the weight of the body acts
(2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.
(3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(4) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.
Which one of the following pairs of statements is correct ?
(2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.
(3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(4) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.
Which one of the following pairs of statements is correct ?
AIPMT 2010 Mains
47
The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1 to another of radius R2(R2 > R1) is
AIPMT 2010 Mains
48
A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 m/s. When the stone reaches the floor, the distance of the man above the floor will be
AIPMT 2010 Prelims
49
The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be
AIPMT 2010 Prelims
50
A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :
AIPMT 2010 Prelims
51
The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If t1 is the time for the planet to move from C to D and t2 is the time to move from A to B then
AIPMT 2009
52
Two satellites of earth, S1 and S2 are moving in the same orbit. The mass of S1 is four times the mass of S2. Which one of the following statements is true ?
AIPMT 2007
53
The earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the earth. The escape velocity of a body from this platform is fv, where v is its escape velocity from the surface of the Earth. The value of f is
AIPMT 2006
54
Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then
AIPMT 2005
55
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
AIPMT 2005
56
The density of a newly discovered planet is twice that of earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be
AIPMT 2004
57
A body of mass m is placed on earth's surface which is taken from earth surface to a height of h = 3R, then change in gravitational potential energy is
AIPMT 2003
58
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?
AIPMT 2003
59
Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be
AIPMT 2003
60
With what velocity should a particle be projected so that its height becomes equal to radius of earth?
AIPMT 2001
61
A body of weight 72 N moves from the surface of earth at a height half of the radius of earth, then gravitational force exerted on it will be
AIPMT 2000
62
Gravitational force is required for
AIPMT 2000
63
For a planet having mass equal to mass of the earth but radius is one fourth of radius of the earth. Then escape velocity for this planet will be
AIPMT 2000