A) \[0.08kg-{{m}^{2}}/s,0.2J\]
B) \[0.85kg-{{m}^{2}}/s,0.2J\]
C) \[0.85kg-{{m}^{2}}/s,0.4J\]
D) \[0.08kg-{{m}^{2}}/s,0.4J\]
Correct Answer: D
Solution :
Angular momentum \[L=I\omega =m{{r}^{2}}\omega \] (as\[I=m{{r}^{2}}\]) \[=0.8\times {{(0.1)}^{2}}\times (2\pi \times 5/\pi )\] \[=0.08kg-{{m}^{2}}/s\] Kinetic energy of ring \[K=\frac{1}{2}I{{\omega }^{2}}\] \[=\frac{1}{2}\times 0.8\times {{(0.1)}^{2}}\times {{(2\pi \times 5/\pi )}^{2}}\] \[=0.4J\]
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