1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
One solid sphere $$A$$ and another hollow sphere $$B$$ are of same mass and same outer radii. Their moment of inertia about their diameters are respectively $${I_A}$$ and $${I_B}$$ such that
A
$${I_A} < {I_B}$$
B
$${I_A} > {I_B}$$
C
$${I_A} = {I_B}$$
D
$${{{I_A}} \over {{I_B}}} = {{{d_A}} \over {{d_B}}}$$ where $${d_A}$$ and $${d_B}$$ are their densities.
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which on of the following will not be affected ?
A
Angular velocity
B
Angular momentum
C
Moment of inertia
D
Rotational kinetic energy
3
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
$${\left( {{{g{R^2}} \over {R + x}}} \right)^{1/2}}$$
4
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
$$mgR$$
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