1
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
A stone is tied to a string of length $$l$$ and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is
A
$$\sqrt {2\left( {{\mu ^2} - gl} \right)} $$
B
$$\sqrt {{u^2} - gl} $$
C
$$u - \sqrt {{u^2} - 2gl} $$
D
$$\sqrt {2gl} $$
2
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R. then the fraction of total energy associated with its rotational energy will be
A
$${{{K^2} + {R^2}} \over {{R^2}}}$$
B
$${{{K^2}} \over {{R^2}}}$$
C
$${{{K^2}} \over {{K^2} + {R^2}}}$$
D
$${{{R^2}} \over {{K^2} + {R^2}}}$$
3
AIPMT 2002
MCQ (Single Correct Answer)
+4
-1
A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point P when wheel completes half of rotation (if radius of wheel is 1 m)
A
2 m
B
$$\sqrt {{\pi ^2} + 4} m$$
C
$$\pi \,m$$
D
$$\sqrt {{\pi ^2} + 2} \,m$$
4
AIPMT 2002
MCQ (Single Correct Answer)
+4
-1
A circular disc is to be made by using iron and aluminium so that it acquired maximum moment of inertia about geometrical axis. It is possible with
A
aluminium at interior and iron surround to it
B
iron at interior and aluminium surround to it
C
using iron and aluminium layers in alternate order
D
sheet of iron is used at both external surface and aluminium sheet as internal layers.
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