1
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
A circular disk of moment of inertia $${I_t}$$ is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed $${\omega _i}$$. Another disk of moment of inertia $${I_b}$$ is dropped coaxially onto the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed $$\omega $$. The energy lost by the initially rotating disc to friction is
A
$${1 \over 2}{{I_b^2} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$$
B
$${1 \over 2}{{I_t^2} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$$
C
$${{{I_b} - {I_t}} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$$
D
$${1 \over 2}{{{I_b}{I_t}} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$$
2
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be :
A
2v
B
zero
C
1.5 v
D
v
3
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
A gramophone record is revolving with an angular velocity $$\omega $$. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is $$\mu $$. The coin will revolve with the record if
A
r = $$\mu $$g$$\omega $$2
B
r < $${{{\omega ^2}} \over {\mu g}}$$
C
$$r \le {{\mu g} \over {{\omega ^2}}}$$
D
$$r \ge {{\mu g} \over {{\omega ^2}}}$$
4
AIPMT 2010 Prelims
MCQ (Single Correct Answer)
+4
-1
A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point sutuated at a/2 distance from the centre, will be :
A
$${{GM} \over a}$$
B
$${{2GM} \over a}$$
C
$${{3GM} \over a}$$
D
$${{4GM} \over a}$$
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