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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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The centre of mass of a system of three particles of masses 1g,2g and 3g is taken as the origin of a coordinate system. The position vector of a fourth particle of mass 4g such that the centre of mass of the four particle system lies at the point (1, 2, 3) is α(i^+2j^+3k^)\alpha \left( {\hat i + 2\hat j + 3\hat k} \right), where α\alpha is a constant. The value of α\alpha is
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Correct option: B
52\frac{5}{2}
Option B (5/2) is correct because it's the value of α that places the center of mass of the four-particle system at the specified coordinates (1, 2, 3).

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