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QNEET-2016-Ph-1180: NEET 2016 Physics - Class 11 NEET-2016-Ph-1180 Solution: A solid sphere of mass m and radius R is rotating about its…
A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of 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 () will be 2:3 1:5 1:4 3:1
Multiple Choice Options
- A 2:03
- B 1:05
- C 1:04
- D 3:01
Step-by-Step Verified Solution
E S p h e r e E C y l i n d e r = 1 2 I s _ s 2 1 2 I c _ c 2 = I s _ s 2 I c _ c 2
Here, I s = 2 5 m R 2 , I c = 1 2 m R 2
_ c = 2 _ s
E S p h e r e E C y l i n d e r = 2 5 m R 2 _ _ s 2 1 2 m R 2 _ ( 2 _ 2 ) 2
_ 4 5 _ 1 4 = 1 5