A) \[\sqrt{{{\omega }_{1}}}:\sqrt{{{\omega }_{2}}}\]
B) \[\sqrt{{{\omega }_{2}}}:\sqrt{{{\omega }_{1}}}\]
C) \[{{\omega }_{2}}:{{\omega }_{1}}\]
D) \[{{\omega }_{1}}:{{\omega }_{2}}\]
Correct Answer: C
Solution :
In the absence of external torque \[{{I}_{1}}{{\omega }_{1}}={{I}_{2}}{{\omega }_{2}}\] or \[MK_{1}^{2}{{\omega }_{1}}=MK_{2}^{2}{{\omega }_{2}}\] \[\therefore \] \[\frac{{{K}_{1}}}{{{K}_{2}}}=\sqrt{\left( \frac{{{\omega }_{2}}}{{{\omega }_{1}}} \right)}\]You need to login to perform this action.
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