1
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
A mass $$'m'$$ is supported by a massless string wound around a uniform hollow cylinder of mass $$m$$ and radius $$R.$$ If the string does not slip on the cylinder, with what acceleration will the mass fall or release? JEE Main 2014 (Offline) Physics - Rotational Motion Question 214 English
A
$${{2g} \over 3}$$
B
$${{g} \over 2}$$
C
$${{5g} \over 6}$$
D
$$g$$
2
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
Four particles, each of mass $$M$$ and equidistant from each other, move along a circle of radius $$R$$ under the action of their mutual gravitational attraction. The speed of each particle is :
A
$$\sqrt {{{GM} \over R}} $$
B
$$\sqrt {2\sqrt 2 {{GM} \over R}} $$
C
$$\sqrt {{{GM} \over R}\left( {1 + 2\sqrt 2 } \right)} $$
D
$${1 \over 2}\sqrt {{{GM} \over R}\left( {1 + 2\sqrt 2 } \right)} $$
3
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
A bob of mass $$m$$ attached to an inextensible string of length $$l$$ is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed $$\omega \,rad/s$$ about the vertical. About the point of suspension:
A
angular momentum is conserved
B
angular momentum changes in magnitude but not in direction.
C
angular momentum changes in direction but not in magnitude.
D
angular momentum changes both in direction and magnitude.
4
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
When a rubber-band is stretched by a distance $$x$$, it exerts restoring force of magnitude $$F = ax + b{x^2}$$ where $$a$$ and $$b$$ are constants. The work done in stretching the unstretched rubber-band by $$L$$ is :
A
$$a{L^2} + b{L^3}$$
B
$${1 \over 2}\left( {a{L^2} + b{L^3}} \right)$$
C
$${{a{L^2}} \over 2} + {{b{L^3}} \over 3}$$
D
$${1 \over 2}\left( {{{a{L^2}} \over 2} + {{b{L^3}} \over 3}} \right)$$
JEE Main Papers
2023
2021
EXAM MAP