1
AIPMT 2012 Mains
MCQ (Single Correct Answer)
+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
MCQ (Single Correct Answer)
+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
$${B \over A}$$
3
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+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 2011 Mains
MCQ (Single Correct Answer)
+4
-1
A mass m moving horizontally (along the x-axis) with velocity $$v$$ collides and sticks to a mass of 3m moving vertically upwards (along the y-axis) with velocity 2$$v$$. The final velocity of the combination is
A
$${3 \over 2}v\widehat i + {1 \over 4}v\widehat j$$
B
$${1 \over 4}v\widehat i + {3 \over 2}v\widehat j$$
C
$${1 \over 3}v\widehat i + {2 \over 3}v\widehat j$$
D
$${2 \over 3}v\widehat i + {1 \over 3}v\widehat j$$
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