The sum of the two forces is and their resultant perpendicular to the lesser of the forces is , then the lesser force is
Step 1: Given Data
Let the two forces be and .
Sum of the two forces
Let be the angle between the two forces.
Let be the angle between the lesser force and .
Step 2: Formula Used
As illustrated in the figure, the resultant is the diagonal of which and are adjacent sides according to the parallelogram law of vector addition.
magnitude is given by,
Resultant force,
Also,
Step 3: Calculate the Forces
We know that,
Also,
Squaring equation (1) and putting the value of , we get
Solving equations and,
Hence, the correct answer is option (B).