1
AIEEE 2004
+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
$${R^{\left( {{{n - 2} \over 2}} \right)}}$$
2
AIEEE 2004
+4
-1
If $$g$$ is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass $$m$$ raised from the surface of the earth to a height equal to the radius $$R$$ of the earth is
A
$${1 \over 4}mgR$$
B
$$2mgR$$
C
$${1 \over 2}mgR$$
D
$$mgR$$
3
AIEEE 2004
+4
-1
The time period of an earth satellite in circular orbit is independent of
A
both the mass and radius of the orbit
B
C
the mass of the satellite
D
neither the mass of the satellite nor the radius of its orbit
4
AIEEE 2003
+4
-1
The time period of satellite of earth is $$5$$ hours. If the separation between the earth and the satellite is increased to $$4$$ times the previous value, the new time period will become
A
$$10$$ hours
B
$$80$$ hours
C
$$40$$ hours
D
$$20$$ hours
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