1
AIEEE 2005
MCQ (Single Correct Answer)
+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
$$6.67 \times {10^{ - 9}}\,J$$
2
AIEEE 2005
MCQ (Single Correct Answer)
+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 $$g$$
3
AIEEE 2005
MCQ (Single Correct Answer)
+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
$$d = 2\,h$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius $$R$$ around the sun will be proportional to
A
$${R^n}$$
B
$${R^{\left( {{{n - 1} \over 2}} \right)}}$$
C
$${R^{\left( {{{n + 1} \over 2}} \right)}}$$
D
$${R^{\left( {{{n - 2} \over 2}} \right)}}$$
JEE Main Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12