A particle of mass in is made to move with uniform speed `v_0` along the perimeter of a regular hexagon, inscribed in a circle of radius `R`. The magnitude of impulse applied at each corner of the hexagon is

Options

A. `2mv_(0)"sin" pi/6`
B. `mv_(0)"sin"pi/6`
C. `mv_(0)"sin"pi/3`
D. `2mv_(0)"sin"pi/3`

Answer

A

Explanation

`I=`change in mometum
`=sqrt((mv_(0))^(2)+(mv_(0))^(2)-2(mv_(0))^(2)cos60^(@))`
`=mv_(0)sqrt(2-2cos(pi/3))=2mv_(0)"sin"pi/6`