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Gravitation

71 Questions
All Exams NEET AIIMS
2011 NEET MCQ
AIPMT 2011 Mains
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 :
A.
${{GM} \over a}$
B.
${{2GM} \over a}$
C.
${{3GM} \over a}$
D.
${{4GM} \over a}$
2011 NEET MCQ
AIPMT 2011 Prelims
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
A.
(r1 /r2)2
B.
r2/r1
C.
(r2/r1)2
D.
r1/r2
2010 NEET MCQ
AIPMT 2010 Mains
(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 ?
A.
(4) and (1)
B.
(1) and (2)
C.
(2) and (3)
D.
(3) and (4)
2010 NEET MCQ
AIPMT 2010 Mains
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

AIPMT 2010 Mains Physics - Gravitation Question 37 English

The correct figure is
A.
(4)
B.
(1)
C.
(2)
D.
(3)
2010 NEET MCQ
AIPMT 2010 Mains
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
A.
GmM $\left( {{1 \over {R_1^2}} - {1 \over {R_2^2}}} \right)$
B.
GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$
C.
2GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$
D.
${1 \over 2}$GmM $\left( {{1 \over {{R_1}}} - {1 \over {{R_2}}}} \right)$
2010 NEET MCQ
AIPMT 2010 Prelims
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
A.
${{3V} \over 4}$
B.
6$V$
C.
12$V$
D.
${{3V} \over 2}$
2010 NEET MCQ
AIPMT 2010 Prelims
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 :
A.
${{GM} \over a}$
B.
${{2GM} \over a}$
C.
${{3GM} \over a}$
D.
${{4GM} \over a}$
2010 NEET MCQ
AIPMT 2010 Prelims
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
A.
9.9 m
B.
10.1 m
C.
10 m
D.
20 m
2009 NEET MCQ
AIPMT 2009
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 Physics - Gravitation Question 35 English
A.
t1 = 4t2
B.
t1 = 2t2
C.
t1 = t2
D.
t1 > t2
2007 NEET MCQ
AIPMT 2007
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 ?
A.
The potential energies of earth and satellite in the two cases are equal.
B.
S1 and S2 are moving with the same speed.
C.
The kinetic energies of the two satellites are equal.
D.
The time period of S1 is four times that of S2.
2006 NEET MCQ
AIPMT 2006
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
A.
1/2
B.
$\sqrt 2 $
C.
1/$\sqrt 2 $
D.
1/3
2005 NEET MCQ
AIPMT 2005
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
A.
1/2
B.
1/$\sqrt 2 $
C.
2
D.
$\sqrt 2 $
2005 NEET MCQ
AIPMT 2005
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
A.
g' = g/9
B.
g' = 27g
C.
g' = 9g
D.
g' = 3g
2004 NEET MCQ
AIPMT 2004
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
A.
2R
B.
4R
C.
${1 \over 4}$R
D.
${1 \over 2}$R
2003 NEET MCQ
AIPMT 2003
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
A.
${{mgR} \over 4}$
B.
${2 \over 3}mgR$
C.
${3 \over 4}mgR$
D.
${{mgR} \over 2}$
2003 NEET MCQ
AIPMT 2003
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?
A.
(2/9) m
B.
18 m
C.
6 m
D.
(2/3) m
2003 NEET MCQ
AIPMT 2003
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
A.
3 F
B.
F
C.
F/3
D.
F/9
2001 NEET MCQ
AIPMT 2001
With what velocity should a particle be projected so that its height becomes equal to radius of earth?
A.
${\left( {{{GM} \over R}} \right)^{1/2}}$
B.
${\left( {{{8GM} \over R}} \right)^{1/2}}$
C.
${\left( {{{2GM} \over R}} \right)^{1/2}}$
D.
${\left( {{{4GM} \over R}} \right)^{1/2}}$
2000 NEET MCQ
AIPMT 2000
Gravitational force is required for
A.
stirring of liquid
B.
convection
C.
conduction
D.
radiation.
2000 NEET MCQ
AIPMT 2000
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
A.
36 N
B.
32 N
C.
144 N
D.
50 N
2000 NEET MCQ
AIPMT 2000
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
A.
11.2 km/sec
B.
22.4 km/sec
C.
5.6 km/sec
D.
44.8 km/sec.