A bucket filled with water is tied to a rope of len"gt"h 0.5 m and is rotated in a circular path in vertical plane. The least velocity it should have at the lowest point of circle so that water does not spill is,

Options

A. `sqrt5 ms^-1`
B. `sqrt10 ms^-1`
C. `5ms^-1`
D. `2 sqrt5 ms^-1`

Explanation

From the figure,
`V_(rg)="Velocity of rain drops"`
`V_(mg)="velocity of men"`
`V_(rm)= "Velocity of rains drops w.r.t to the man running"`
Velocity of rain drops with respect to the ground,
`V_(rg)=(v_(mg))/sintheta=10/(sin30^o)=20km//hr`
Velovity of rain drops with respect to man is,
`V_(rm)=V_(rk)cos30^0`
`impliesV_(rm)=20sqrt3/2=10sqrt3 km//hr.`