1
AIPMT 2012 Mains
+4
-1
A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P0. The instantaneous velocity of this car is proportional to
A
t2P0
B
t1/2
C
t$$-$$1/2
D
$${t \over {\sqrt m }}$$
2
AIPMT 2012 Prelims
+4
-1
Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity in a direction perpendicular to the original direction. The mass A moves after collision in the direction
A
same as that of B
B
opposite to that of B
C
$$\theta$$ = tan$$-$$1 $$\left( {{1 \over 2}} \right)$$ to the x-axis
D
$$\theta$$ = tan$$-$$1$$\left( { - {1 \over 2}} \right)$$ to the x-axis
3
AIPMT 2012 Prelims
+4
-1
A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 m s$$-$$1. It collides with a horizontal spring of force constant 200 N m$$-$$1. The maximum compression produced in the spring will be
A
0.5 m
B
0.6 m
C
0.7 m
D
0.2 m
4
AIPMT 2012 Prelims
+4
-1
The potential energy of a particle in a force field is $$U = {A \over {{r^2}}} - {B \over r}$$ where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is
A
$${B \over {2A}}$$
B
$${{2A} \over B}$$
C
$${A \over B}$$
D
$${B \over A}$$
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