1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
Four identical thin rods each of mass M and length $$l$$, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is
A
$${2 \over 3}M{l^2}$$
B
$${{13} \over 3}M{l^2}$$
C
$${1 \over 3}M{l^2}$$
D
$${4 \over 3}M{l^2}$$
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
If $$\overrightarrow F $$ is 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  $$\overrightarrow F .\overrightarrow \tau < 0$$
B
$$\overrightarrow r .\overrightarrow \tau = 0$$  and  $$\overrightarrow F .\overrightarrow \tau = 0$$
C
$$\overrightarrow r .\overrightarrow \tau = 0$$  and  $$\overrightarrow F .\overrightarrow \tau \ne 0$$
D
$$\vec r.\vec \tau \ne 0$$  and  $$\overrightarrow F .\overrightarrow \tau = 0$$
3
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90o. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is
A
$${{M{L^2}} \over 6}$$
B
$${{\sqrt 2 M{L^2}} \over {24}}$$
C
$${{M{L^2}} \over {24}}$$
D
$${{M{L^2}} \over {12}}$$
4
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is
A
$$\sqrt 2 :1$$
B
$$\sqrt 2 :\sqrt 3 $$
C
$$\sqrt 3 :\sqrt 2 $$
D
$$1:\sqrt 2 $$
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