Two forces of equal magnitude simultaneously act at a point. It is observed that the resultant force is equal in magnitude to the individual forces. Which of the following statements is/are correct?
I. The angle between one of the individual forces and the resultant force is π/3.
II. The angle between the individual forces is 2π/3.
Select the answer using the code given below.

Let the two forces be F1 and F2, and their resultant be R. Given |F1| = |F2| = |R| = F. The magnitude of the resultant vector is given by the formula:

R2 = F12 + F22 + 2F1F2 cos θ

Substituting the given values: F2 = F2 + F2 + 2F2 cos θ. This simplifies to F2 = 2F2(1 + cos θ), which leads to 1/2 = 1 + cos θ. Therefore, cos θ = -1/2, which means the angle between the individual forces is θ = 120° or 2π/3 radians. Thus, Statement II is correct.

When two forces of equal magnitude act at a point, the resultant bisects the angle between them. Therefore, the angle α between one of the individual forces and the resultant force is θ/2 = (2π/3) ÷ 2 = π/3. Thus, Statement I is also correct.