1
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
$${B \over A}$$
2
AIPMT 2011 Mains
+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
$${2 \over 3}v\widehat i + {1 \over 3}v\widehat j$$
3
AIPMT 2011 Prelims
+4
-1
The potential energy of a system increases if work is done
A
upon the system by a nonconservative force
B
by the system agains is a conservative force.
C
by the system against a nonconservative force.
D
upon the system by a conservative force.
4
AIPMT 2011 Prelims
+4
-1
A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time ?

A
B
C
D
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