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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