1
AIPMT 2015
+4
-1
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
$${\overrightarrow r _1}.{\overrightarrow v _1} = {\overrightarrow r _2}.{\overrightarrow v _2}$$
2
AIPMT 2015
+4
-1
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
3
AIPMT 2015
+4
-1
A ball is thrown vertically downwards from a height of 20 m with an initial velocity v0. It collides with the ground, losses 50 percent of its energy in collision and rebounds to the same height. The initial velocity v0 is
(Take g = 10 m s$$-$$2)
A
28 m s$$-$$1
B
10 m s$$-$$1
C
14 m s$$-$$1
D
20 m s$$-$$1
4
AIPMT 2015
+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
$${3 \over 4}v$$
EXAM MAP
Medical
NEET