A) \[{{\nu }_{1}}={{\nu }_{2}}\]
B) \[{{\nu }_{1}}>{{\nu }_{2}}\]
C) \[{{\nu }_{1}}<{{\nu }_{2}}\]
D) data is insufficient
Correct Answer: C
Solution :
From conservation of angular momentum about point of contact. \[I{{\omega }_{0}}\,=\,I\omega +mR\omega \] \[I{{\omega }_{0}}\,=\,I\frac{{{\nu }^{2}}}{R}+\,\,mR\nu \] \[\nu =\frac{I{{\omega }_{0}}}{\frac{I}{R}+mR}\]2 \[\nu =\frac{{{\omega }_{0}}}{\frac{1}{R}+\frac{mR}{l}}\] \[Now\,\,{{I}_{solid\,\,sphere}}\,<\,{{I}_{hollow}}\] \[{{\nu }_{solid}}\,<{{\nu }_{hollow}}\] \[{{\nu }_{1}}\,<{{\nu }_{2}}\]You need to login to perform this action.
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