1
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
$${2k \over {I}}\theta$$
2
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
$$\sqrt {{{2qE} \over {md}}}$$
3
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/$$\sqrt5$$
4
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
A rectangular solid box of length 0.3 m is held horizontally, with one of its sides on the edge of a platform of height 5m. When released, it slips off the table in a very short time t = 0.01s, remaining essentially horizontal. The angle by which it would rotate when it hits the ground will be (in radians) close to :-
A
0.28
B
0.02
C
0.3
D
0.5
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