A) 2 s
B) 4 s
C) 1 s
D) 6 s
Correct Answer: B
Solution :
When a cone filled with water is revolved in a vertical circle, then the velocity at the highest point is given by \[v\ge \sqrt{gr}\] Also \[v=r\,\,\omega =r\frac{2\pi }{T}\] Hence, \[\frac{2r\pi }{T}\ge \sqrt{r\,\,g}\] \[T\le \frac{2\pi r}{\sqrt{rg}}=2\pi \sqrt{\frac{r}{g}}\] \[\le 2\pi \sqrt{\frac{4}{9.8}}\] \[\le 2\times 3.14\times 0.638\] \[\le 4.0\,\,s\] \[\therefore \] \[{{T}_{\max }}=4\,\,s\]
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