Two forces each equal to `F/2`, act at right angles. Their effect may be neutralised by a third force acting along their bisector in the opposite direction with a magnitude of:

Options

A. F
B. `F/sqrt(2)`
C. `sqrt(2)F`
D. `F/2`

Answer

B

Explanation

Resultant Force `sqrt((F/2)^(2) + (F/2)^(2)) + sqrt((2F^(2))/4)=F/sqrt(2)`
`:. `Hence when `F/sqrt(2)` force acts along their bisector in opposite direction, then resultant of three forces will be zero