1
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
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
A
$${{4G{M_P}} \over {D_P^2}}$$
B
$${{G{M_P}m} \over {D_P^2}}$$
C
$${{G{M_P}} \over {D_P^2}}$$
D
$${{4G{M_P}m} \over {D_P^2}}$$
2
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
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
A
5
B
10
C
6$$\sqrt 2 $$
D
$${6 \over {\sqrt 2 }}$$
3
AIPMT 2011 Mains
MCQ (Single Correct Answer)
+4
-1
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
A
$$\sqrt {{{2GM} \over {{R^2}}}} $$
B
$$\sqrt {{{2GM} \over R}} $$
C
$$\sqrt {{{2gM} \over {{R^2}}}} $$
D
$$\sqrt {2g{R^2}} $$
4
AIPMT 2011 Mains
MCQ (Single Correct Answer)
+4
-1
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
$${{4GM} \over a}$$
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