1
NEET 2013 (Karnataka)
MCQ (Single Correct Answer)
+4
-1
Change Language
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)
A
$${\left( {{{GM} \over {2R}}} \right)^{1/2}}$$
B
$${\left( {{{gR} \over 4}} \right)^{1/2}}$$
C
$${\left( {{{2g} \over R}} \right)^{1/2}}$$
D
$${\left( {{{GM} \over R}} \right)^{1/2}}$$
2
NEET 2013
MCQ (Single Correct Answer)
+4
-1
Change Language
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
A
$$ - {4 \over 3}$$ G
B
$$-$$ 4G
C
$$-$$ G
D
$$ - {8 \over 3}$$ G
3
NEET 2013
MCQ (Single Correct Answer)
+4
-1
Change Language
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
A
3mgR
B
$${1 \over 3}$$mgR
C
mg2R
D
$${2 \over 3}$$ mgR
4
AIPMT 2012 Mains
MCQ (Single Correct Answer)
+4
-1
Change Language
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
A
$${v_o} = \sqrt {2{v_e}} $$
B
vo $$=$$ ve
C
$${v_e} = \sqrt {2{v_o}} $$
D
$${v_e} = \sqrt 2 {v_o}$$

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