1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
Two bodies of mass 1 kg and 3 kg have position vectors $$\widehat i + 2\widehat j + \widehat k$$ and $$ - 3\widehat i - 2\widehat j + \widehat k$$, respectively. The center of mass of this system has a position vector :
A
$$ - 2\widehat i - \widehat j + \widehat k$$
B
$$2\widehat i - \widehat j - 2\widehat k$$
C
$$ - \widehat i + \widehat j + \widehat k$$
D
$$ - 2\widehat i + 2\widehat k$$
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 m s$$-$$1 and 2 kg second part moving with a velocity 8 m s$$-$$1. If the third part flies off with a velocity of 4 m s$$-$$1, its mass would be :
A
7 kg
B
17 kg
C
3 kg
D
5 kg
3
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
A particle of mass m is projected with velocity v making an angle of 45o with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be :
A
$$mv\sqrt 2 $$
B
zero
C
2mv
D
mv / $$\sqrt 2 $$
4
AIPMT 2008
MCQ (Single Correct Answer)
+4
-1
A shell of mass 200 gm is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is :
A
40 ms$$-$$1
B
120 ms$$-$$1
C
100 ms$$-$$1
D
80 ms$$-$$1
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