A ball of mass `500g` tied to one end of string is revolved in a horizontal circle of radius `10cm` with a speed `1//pirev//s` in gravity-free space, then the linear velocity, acceleration and tension in the string will be

Options

A. `0.1m//s,0.4m//s^(2),0.2N`
B. `0.1m//s,04m//s^(2),0.1N`
C. `0.2m//s,0.4m//s^(2),0.2N`
D. `0.2m//s,0.3m//s^(2),0.2N`

Answer

C

Explanation

`omega=2piN=2pixx(1)/(pi)=2rad//s`
`m=0.5kg,r=0.1m`
`v=romega=0.1xx2=0.2m//s`
`a=omega^(2)r=(2)^(2)xx0.1=0.4m//s^(2)`
`T=momega^(2)r=0.5xx0.4=0.2N`