A) 8
B) 4
C) 2
D) 1
Correct Answer: B
Solution :
Rotational kinetic energy \[=\frac{1}{2}I{{\omega }^{2}}=8\,J\] \[\Rightarrow \] \[\frac{1}{2}\times \frac{1}{2}m{{r}^{2}}{{\omega }^{2}}=8\] or \[\frac{1}{4}\times 2\times {{(1)}^{2}}{{\omega }^{2}}=8\] or \[{{\omega }^{2}}=16\] or \[\omega =4\,rad/s\] Angular momentum, \[L=I\omega \] \[=\frac{1}{2}m{{r}^{2}}\omega \] \[=\frac{1}{2}\times 2\times {{(1)}^{2}}\times 4\] \[=4\,J-s\]You need to login to perform this action.
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