NEET-XI-Physics
exam-2 year:2016
- #121A solid sphere of mass m and radius R is rotating
about its diameter. A solid cylinder of the same mass
and same radius is also rotating about its geometrical
axis with an angular speed twice that of the sphere.
The ratio of their kinetic energies of rotation
(``E_{sphere}`` / ``E_{cylinder}``) will be :-
(1) 1 : 4
(2) 3 : 1
(3) 2 : 3
(4) 1 : 5digAnsr: 4Ans : (4)
Sol.
Esphere =
2 2 2
s
1 1 2
I MR
2 2 5
=
Ecylinder =
2
2 2
c
1 1 MR
I (2 ) 4
2 2 2
=
sphere
cylinder
E 1
E 5
=
14