1
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane. : (i) a ring of radius R, (ii) a solid cylinder of radius R/2 and (iii) a solid sphere of radius R/4 . If in each case, the speed of the centre of mass at the bottom of the incline is same, the ratio of the maximum heights they climb is :
A
20 : 15 : 14
B
4 : 3 : 2
C
2 : 3 : 4
D
10 : 15 : 7
2
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a function of $$\theta$$, where $$\theta$$ is the angle by which it has rotated, is given as k$$\theta$$2. If its moment of inertia is I then the angular acceleration of the disc is :
A
$${k \over {4I}}\theta$$
B
$${k \over {I}}\theta$$
C
$${k \over {2I}}\theta$$
D
$${2k \over {I}}\theta$$
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
An electric dipole is formed by two equal and opposite charges q with separation d. The charges have same mass m. It is kept in a uniform electric field E. If it is slightly rotated from its equilibrium orientation, then its angular frequency $$\omega$$ is :-
A
$$\sqrt {{{qE} \over {md}}}$$
B
$$\sqrt {{{qE} \over {2md}}}$$
C
$$\sqrt {{{qE} \over {-2md}}}$$
D
$$\sqrt {{{2qE} \over {md}}}$$
4
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights hsph and hcyl on the incline. The ratio hsph/hcyl is given by :-
A
1
B
14/15
C
4/5
D
2/$$\sqrt5$$
EXAM MAP
Medical
NEET