1
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v). The total kinetic energy generated due to explosion is :
A
mv2
B
$${3 \over 2}$$mv2
C
2mv2
D
4mv2
2
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions s$$-$$2 is
A
25 N
B
50 N
C
78.5 N
D
157 N
3
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle $$\theta $$ without slipping and slipping down the incline without rolling is
A
5 : 7
B
2 : 3
C
2 : 5
D
7 : 5
4
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
Change Language
A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 $$ \times $$ 1024 kg) have to be compressed to be a black hole?
A
10$$-$$9 m
B
10$$-$$6 m
C
10$$-$$2 m
D
100 m
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