A) 1
B) \[\frac{R}{r}\]
C) \[\frac{r}{R}\]
D) \[\sqrt{\frac{R}{r}}\]
Correct Answer: A
Solution :
Angular velocity of particle is \[\omega =\frac{2\pi }{T}\,or\,\omega \propto \,\frac{1}{T}\] It simply implies that does not depend on mass of the body and radius of the circle. \[\therefore \frac{{{\omega }_{1}}}{{{\omega }_{2}}}=\frac{{{T}_{2}}}{{{T}_{1}}}\] but time period is given same, i.e., \[{{T}_{1}}={{T}_{2}}\] Hence, \[\frac{{{\omega }_{1}}}{{{\omega }_{2}}}=\frac{1}{1}\]
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