1
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
On a frictionless surface, a block of mass M moving at speed v collides elastically with another block of same mass M which is initially at rest. After collision the first block moves at an angle $$\theta $$ to its initial direction and has a speed $${v \over 3}.$$ The second block's speed after the collision is
A
$${3 \over {\sqrt 2 }}v$$
B
$${{\sqrt 3 } \over 2}v$$
C
$${{2\sqrt 2 } \over 3}v$$
D
$${3 \over 4}v$$
2
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
An automobile moves on a road with a speed of 54 km h$$-$$1. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 kg m2. If the vehicle is brought to rest in 15 s, the magnitude of average torque transmitted by its brakes to the wheel is
A
10.86 kg m2 s$$-$$2
B
2.86 kg m2 s$$-$$2
C
6.66 kg m2 s$$-$$2
D
8.58 kg m2 s$$-$$2
3
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Point masses m1 and m2 are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity $$\omega $$0 is minimum, is given by

AIPMT 2015 Physics - Rotational Motion Question 71 English
A
$$x = {{{m_2}} \over {{m_1}}}L$$
B
$$x = {{{m_2}L} \over {{m_1} + {m_2}}}$$
C
$$x = {{{m_1}L} \over {{m_1} + {m_2}}}$$
D
$$x = {{{m_1}} \over {{m_2}}}L$$
4
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
A force $$\overrightarrow F = \alpha \widehat i + 3\widehat j + 6\widehat k$$ is acting at a point $$\overrightarrow r = 2\widehat i - 6\widehat j - 12\widehat k$$. The value of $$\alpha $$ for which angular momentum about origin is conserved is
A
zero
B
1
C
$$-$$ 1
D
2
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