1
AIEEE 2009
+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
$$2\,R$$
2
AIEEE 2008
+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
$$0.11\,\,km\,{s^{ - 1}}$$
3
AIEEE 2008
+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
4
AIEEE 2007
+4
-1
If $${g_E}$$ and $${g_M}$$ are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan's oil drop experiment could be performed on the two surfaces, one will find the ratio
$${{electro\,\,ch\arg e\,\,on\,\,the\,\,moon} \over {electronic\,\,ch\arg e\,\,on\,\,the\,\,earth}}\,\,to\,be$$
A
$${g_M}/{g_E}$$
B
$$1$$
C
$$0$$
D
$${g_E}/{g_M}$$
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