A bucket full of water is revolved in vert

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A bucket full of water is revolved in vertical circle of radius $2\,m$. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket ......... $\sec$.

A

$1 $

B

$2 $

C

$3$

D

$4 $

A bucket full of water is revolved in vertical circle of radius $2\,m$. What should be the maximum time-period of revolution so that the water doesn't fall off the bucket ......... $\sec$.

Minimum angular velocity ${\omega _{\min }} = \sqrt {g/R} $

$\therefore \,\,{T_{\max }} = \frac{{2\pi }}{{{\omega _{\min }}}} = 2\pi \sqrt {\frac{R}{g}} $

$ = 2\pi \sqrt {\frac{2}{{10}}} = 2\sqrt 2 \cong 3\,s$