1
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
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 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle has initial velocity $$\left( {2\overrightarrow i + 3\overrightarrow j } \right)$$ and acceleration $$\left( {0.3\overrightarrow i + 0.2\overrightarrow j } \right)$$. The magnitude of velocity after 10 seconds will be
A
$$9\sqrt 2 $$
B
$$5\sqrt 2 $$
C
5 units
D
9 units
3
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45o, the speed of the car is
A
20 m s$$-$$1
B
30 m s$$-$$1
C
5 m s$$-$$1
D
10 m s$$-$$1
4
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
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