1
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
$${g_E}/{g_M}$$
2
AIEEE 2005
+4
-1
A particle of mass $$10$$ $$g$$ is kept on the surface of a uniform sphere of mass $$100$$ $$kg$$ and radius $$10$$ $$cm.$$ Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take $$G$$ $$= 6.67 \times {10^{ - 11}}\,\,N{m^2}/k{g^2}$$)
A
$$3.33 \times {10^{ - 10}}\,J$$
B
$$13.34 \times {10^{ - 10}}\,J$$
C
$$6.67 \times {10^{ - 10}}\,J$$
D
$$6.67 \times {10^{ - 9}}\,J$$
3
AIEEE 2005
+4
-1
Average density of the earth
A
is a complex function of $$g$$
B
does not depend on $$g$$
C
is inversely proportional to $$g$$
D
is directly proportional to $$g$$
4
AIEEE 2005
+4
-1
The change in the value of $$g$$ at a height $$h$$ above the surface of the earth is the same as at a depth $$d$$ below the surface of earth. When both $$d$$ and $$h$$ are much smaller than the radius of earth, then which one of the following is correct?
A
$$d = {{3h} \over 2}$$
B
$$d = {h \over 2}$$
C
$$d = h$$
D
$$d = 2\,h$$
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