1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
A satellite of mass $$m$$ revolves around the earth of radius $$R$$ at a height $$x$$ from its surface. If $$g$$ is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is
A
$${{g{R^2}} \over {R + x}}$$
B
$${{gR} \over {R - x}}$$
C
$${gx}$$
D
$${\left( {{{g{R^2}} \over {R + x}}} \right)^{1/2}}$$
2
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
$${R^{\left( {{{n - 2} \over 2}} \right)}}$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+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
$$mgR$$
4
AIEEE 2004
MCQ (Single Correct Answer)
+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
radius of its orbit
C
the mass of the satellite
D
neither the mass of the satellite nor the radius of its orbit
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