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The resultant R of two forces acting on a particle is at right angles to one of them and its magnitude is one third of the other force. The ratio of larger force to smaller one is

1. 2: 1
2. 3: √(2)
3. 3: 2
4. 3: 2√(2)

Correct answer: 3: 2√(2)

Solution

The problem involves two forces, where the resultant is perpendicular to one of them, indicating a right triangle relationship. By applying the Pythagorean theorem and the given conditions, we can derive the ratio of the larger force to the smaller force, which simplifies to 3: 2√2.

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