The resultant of two forces acting an angle of `120^(@)` is 10 kg wt and is perpendicular to one of the forces .That force is

Options

A. `1-sqrt(3)` kg wt
B. `20sqrt(3)` kg wt
C. 10 kg wt
D. `(10)/(sqrt(3))kg wt`

Answer

D

Explanation

Let `F_(1)` and `F_(2)` be two forces and resultant R is perpendicular to `F_(1)`.

Here,R=10 kg wt
From figure ,`tan30^(@)=(F_(1))/(R)`
`F_(1)Rtan30^(@)=(10)/(sqrt(3))`kg wt