1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Consider the following two statements :

$$A.$$ Linear momentum of a system of particles is zero

$$B.$$ Kinetic energy of a system of particles is zero.

then
A
$$A$$ does not imply $$B$$ and $$B$$ does not imply $$A$$
B
$$A$$ implies $$B$$ but $$B$$ does not imply $$A$$
C
$$A$$ does not imply $$B$$ but $$B$$ implies $$A$$
D
$$A$$ implies $$B$$ and $$B$$ implies $$A$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time $$'t'$$ is proportional to
A
$${t^{3/4}}$$
B
$${t^{3/2}}$$
C
$${t^{1/4}}$$
D
$${t^{1/2}}$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Let $$\overrightarrow F $$ be the force acting on a particle having position vector $$\overrightarrow r ,$$ and $$\overrightarrow \tau $$ be the torque of this force about the origin. Then
A
$$\overrightarrow {r.} \overrightarrow \tau = 0\,\,$$ and $$\overrightarrow {F.} \overrightarrow \tau \ne 0\,\,$$
B
$$\overrightarrow {r.} \vec \tau \ne 0{\mkern 1mu} {\mkern 1mu} $$ and $$\overrightarrow {F.} \overrightarrow \tau = 0\,\,$$
C
$$\overrightarrow {r.} \vec \tau \ne 0{\mkern 1mu} $$ and $$\overrightarrow {F.} \overrightarrow \tau \ne 0$$
D
$$\overrightarrow {r.} \vec \tau = 0{\mkern 1mu} $$ and $$\overrightarrow {F.} \overrightarrow \tau = 0\,\,$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Two spherical bodies of mass $$M$$ and $$5M$$ & radii $$R$$ & $$2R$$ respectively are released in free space with initial separation between their centers equal to $$12R$$. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before collision is
A
$$2.5$$ $$R$$
B
$$4.5$$ $$R$$
C
$$7.5$$ $$R$$
D
$$1.5$$ $$R$$

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