A) \[{{K}_{A}}={{K}_{B}}\]
B) \[{{K}_{A}}>{{K}_{B}}\]
C) \[{{K}_{A}}<{{K}_{B}}\]
D) \[{{K}_{A}}=2{{K}_{B}}\]
Correct Answer: C
Solution :
Kinetic energy \[K=\frac{{{L}^{2}}}{2I}\] If angular momenta are equal, then \[K\propto \frac{1}{I}\] i.e., \[IK=\]constant \[\Rightarrow \] \[{{I}_{A}}{{K}_{A}}={{I}_{B}}{{K}_{B}}\] \[\Rightarrow \] \[\frac{{{I}_{A}}}{{{I}_{B}}}=\frac{{{K}_{B}}}{{{K}_{A}}}\] \[{{I}_{A}}>{{I}_{B}}\] \[\therefore \] \[{{K}_{B}}>{{K}_{A}}\]You need to login to perform this action.
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