Published by:
CGP EDU Academic Team
Published on: August 21, 2026
The kinetic energy 
of a rotating body depends on its moment of inertia 
and its angular speed 
. Assuming the relation to be 
, where 
is a dimensionless constant, find 
.
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
, where 
kinetic energy of rotating body and 
dimensionless constant.
Dimensions of left side are 
Dimensions of right side are 
According to principle of homogeneity of dimension,
Equating the dimensions of both sides, we get,
and 
and 
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