1
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
Two bodies of masses $$m$$ and $$4$$ $$m$$ are placed at a distance $$r.$$ The gravitational potential at a point on the line joining them where the gravitational field is zero is:
A
$$ - {{4Gm} \over r}$$
B
$$ - {{6Gm} \over r}$$
C
$$ - {{9Gm} \over r}$$
D
zero
2
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
The height at which the acceleration due to gravity becomes $${g \over 9}$$ (where $$g=$$ the acceleration due to gravity on the surface of the earth) in terms of $$R,$$ the radius of the earth, is:
A
$${R \over {\sqrt 2 }}$$
B
$$R/2$$
C
$$\sqrt 2 \,\,R$$
D
$$2\,R$$
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A planet in a distant solar system is $$10$$ times more massive than the earth and its radius is $$10$$ times smaller. Given that the escape velocity from the earth is $$11\,\,km\,{s^{ - 1}},$$ the escape velocity from the surface of the planet would be
A
$$1.1\,\,km\,{s^{ - 1}}$$
B
$$100\,\,km\,{s^{ - 1}}$$
C
$$110\,\,km\,{s^{ - 1}}$$
D
$$0.11\,\,km\,{s^{ - 1}}$$
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
This question contains Statement - $$1$$ and Statement - $$2$$. of the four choices given after the statements, choose the one that best describes the two statements.

Statement - $$1$$:

For a mass $$M$$ kept at the center of a cube of side $$'a'$$, the flux of gravitational field passing through its sides $$4\,\pi \,GM.$$

Statement - 2:

If the direction of a field due to a point source is radial and its dependence on the distance $$'r'$$ from the source is given as $${1 \over {{r^2}}},$$ its flux through a closed surface depends only on the strength of the source enclosed by the surface and not on the size or shape of the surface.
A
Statement - $$1$$ is false, Statement - $$2$$ is true
B
Statement - $$1$$ is true, Statement - $$2$$ is true; Statement - $$2$$ is a correct explanation for Statement - $$1$$
C
Statement - $$1$$ is true, Statement - $$2$$ is true; Statement - $$2$$ is not a correct explanation for Statement - $$1$$
D
Statement - $$1$$ is true, Statement - $$2$$ is false
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