1
AIPMT 2011 Mains
MCQ (Single Correct Answer)
+4
-1
A conveyor belt is moving at a constant speed of 2 ms$$-$$1. A box is gently dropped on it. The coefficient of friction between them is $$\mu$$ = 0.5. The distance that the box will move relativce to belt before coming to rest on it, taking g = 10 m s$$-$$2,, is
A
0.4 m
B
1.2 m
C
0.6 m
D
zero
2
AIPMT 2011 Mains
MCQ (Single Correct Answer)
+4
-1
A mass m moving horizontally (along the x-axis) with velocity $$v$$ collides and sticks to a mass of 3m moving vertically upwards (along the y-axis) with velocity 2$$v$$. The final velocity of the combination is
A
$${3 \over 2}v\widehat i + {1 \over 4}v\widehat j$$
B
$${1 \over 4}v\widehat i + {3 \over 2}v\widehat j$$
C
$${1 \over 3}v\widehat i + {2 \over 3}v\widehat j$$
D
$${2 \over 3}v\widehat i + {1 \over 3}v\widehat j$$
3
AIPMT 2011 Mains
MCQ (Single Correct Answer)
+4
-1
A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will

A
decrease by a factor of 2
B
remain constant
C
increase by a factor of 2
D
increase by a factor of 4
4
AIPMT 2011 Mains
MCQ (Single Correct Answer)
+4
-1
A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is
A
$$\sqrt {{{2GM} \over {{R^2}}}}$$
B
$$\sqrt {{{2GM} \over R}}$$
C
$$\sqrt {{{2gM} \over {{R^2}}}}$$
D
$$\sqrt {2g{R^2}}$$
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