A) 2 sec
B) 4 sec
C) 1 sec
D) 6 sec
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 \[\upsilon \ge \sqrt{gr}\] Also \[\upsilon =rw=r\frac{2\pi }{T}\] Hence, \[\frac{2r\pi }{T}\ge \sqrt{rg}\] \[T\le \frac{2\pi r}{\sqrt{rg}}=2\pi \sqrt{\frac{r}{g}}\] \[=2\pi \sqrt{\frac{4}{9.8}}\] \[=2\times 3.14\times 0.6389\] \[=4.0\,\,\sec \] So, \[{{T}_{\max }}=4\,\sec \]
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