Practice question
Question
A solid sphere of mass 1kg and radius 0.8m has a kinetic energy of 12.8J. What is its angular speed?
Explanation
I = 25MR2 = 25×1×(0.8)2 = 0.256kg m2. K = 12Iω2⇒12.8 = 12×0.256×ω2⇒25.6 = 0.256ω2⇒ω2 = 100⇒ω = 10rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 10 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.