1
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
2
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
$${B \over A}$$
3
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
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 $${v \over 2}$$ 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
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
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