A) \[0.4\,kg\,{{m}^{2}}{{s}^{-1}}\]
B) \[4.4\,kg\,{{m}^{2}}{{s}^{-1}}\]
C) \[44\,kg\,{{m}^{2}}{{s}^{-1}}\]
D) \[88\,kg\,{{m}^{2}}{{s}^{-1}}\]
Correct Answer: D
Solution :
The moment of inertia of the ring, \[I=m{{r}^{2}}=10\times {{(0.2)}^{2}}=0.4\,kg-{{m}^{2}}\] Angular frequency ofthe ring, \[\omega =2\pi n=2\pi \times \frac{2100}{60}\,rad\text{/}s\] \[\therefore \] Angular momentum of the ring, \[L=I\omega =\frac{0.4\times 2\pi \times 2100}{60}\]\[=88\,kg\,{{m}^{2}}\text{/}s\]
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