1
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
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 80 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
$$x = {{{m_1}} \over {{m_2}}}L$$
2
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
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
$${3 \over 4}v$$
3
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
Two particles A and B, move with constant velocities $$\overrightarrow {{v_1}} $$ and $$\overrightarrow {{v_2}} $$. At the initial moment their position vectors are $$\overrightarrow {{r_1}} $$ and $$\overrightarrow {{r_2}} $$ respectively. The condition for particles A and B for their collision is
A
$${\overrightarrow r _1} \times {\overrightarrow v _1} = {\overrightarrow r _2} \times {\overrightarrow v _2}$$
B
$${\overrightarrow r _1} - {\overrightarrow r _2} = {\overrightarrow v _1} - {\overrightarrow v _2}$$
C
$${{{{\overrightarrow r }_1} - {{\overrightarrow r }_2}} \over {\left| {{{\overrightarrow r }_1} - {{\overrightarrow r }_2}} \right|}} = {{{{\overrightarrow v }_2} - {{\overrightarrow v }_1}} \over {\left| {{{\overrightarrow v }_2} - {{\overrightarrow v }_1}} \right|}}$$
D
$${\overrightarrow r _1}.{\overrightarrow v _1} = {\overrightarrow r _2}.{\overrightarrow v _2}$$
4
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
Change Language
The heart of a man pumps 5 litres of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be 13.6 $$ \times $$ 103 kg/m3 and g = 10 m/s2 then the power (in watt) is
A
3.0
B
1.50
C
1.70
D
2.35