A) \[1:1:1\]
B) \[\sqrt{2}:\sqrt{2}:1\]
C) \[1:\sqrt{2}:1\]
D) \[1:2:\sqrt{2}\]
Correct Answer: B
Solution :
We know that \[K=\frac{1}{2}I{{\omega }^{2}}\] where \[K=\]kinetic energy \[I=\]moment of inertia \[\omega =\]angular speed So, \[\omega \propto \frac{1}{\sqrt{I}}\] \[{{\omega }_{1}}:{{\omega }_{2}}:{{\omega }_{3}}=\frac{1}{\sqrt{{{I}_{1}}}}:\frac{1}{\sqrt{{{I}_{2}}}}:\frac{1}{\sqrt{{{I}_{3}}}}\] \[=\frac{1}{\sqrt{1}}:\frac{1}{\sqrt{1}}:\frac{1}{\sqrt{2}}=\sqrt{2}:\sqrt{2}:1\]You need to login to perform this action.
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