1
JEE Main 2021 (Online) 22th July Evening Shift
+4
-1
Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter.

The correct statement for this situation is
A
All of them will have same velocity.
B
The ring has greatest and the cylinder has the least velocity of the centre of mass at the bottom of the inclined plane.
C
The sphere has the greatest and the ring has the least velocity of the centre of mass at the bottom of the inclined plane.
D
The cylinder has the greatest and the sphere has the least velocity of the centre of mass at the bottom of the inclined plane.
2
JEE Main 2021 (Online) 20th July Evening Shift
+4
-1
A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic energy. The body is :
A
Solid sphere
B
Solid cylinder
C
Hollow cylinder
D
Ring
3
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
A particle of mass m moves in a circular orbit under the central potential field, $$U(r) = - {C \over r}$$, where C is a positive constant. The correct radius $$-$$ velocity graph of the particle's motion is :
A
B
C
D
4
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the center is :
A
$${1 \over 4}{{M{L^2}} \over {{\pi ^2}}}$$
B
$${1 \over 2}{{M{L^2}} \over {{\pi ^2}}}$$
C
$${2 \over 5}{{M{L^2}} \over {{\pi ^2}}}$$
D
$${{M{L^2}} \over {{\pi ^2}}}$$
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