A stone of mass 1 kg tied to a light inextensible string of lenth `L=(10)/(3)m`, whirling in a circular path in a vertical plane. The ratio of maximum tension to the minimum tension in the string is 4. If g is taken to be `10ms^(-2)`, the speed of the stone at the highest point of the circle is

Options

A. `20 m/s`
B. `10 sqrt 3 m/s`
C. `5 sqrt 2 m/s`
D. `10 m/s`

Answer

`(4)`

Explanation

`(T_(max))/(T_(min)) = 4, T_(max) = (MV_(1)^(2))/(r) + Mg`
`T_(min) = (MV_(2)^(2))/(r) - Mg`
and `Delta (MV_(1)^(2)) + Mg(2r)`