A) the angular velocity decreases
B) his moment of inertia decreases
C) the angular velocity stays constant
D) the angular momentum increases
Correct Answer: B
Solution :
From law of conservation of angular momentum, when no external torque acts on a body its angular momentum remains conserved. \[\tau =I\omega =cons\tan t\]where\[I\]is moment of inertia\[(=m{{r}^{2}})\]and\[\omega \]the angular velocity. When gymnast suddenly lowers his hands his radius of rotation decreases, hence moment of inertia decreases and angular velocity increases.
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