NEET-XI-Physics

exam-2 year:2016

with Solutions - page 3
  • #121
    A 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 : 5
    digAnsr:   4
    Ans : (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