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Physics · 2022

JEE Main · 25 July 2022, Shift 2 · Q52

Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 3 m each.…

Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to $\displaystyle 3$ m each. Taking point of intersection of mutually perpendicular sides as origin, the magnitude of position vector of centre of mass of the system will be $\displaystyle \sqrt{x} \mathrm{~m}$. The value of $\displaystyle x$ is \_\_\_\_.
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JEE Main 2022 Physics question, with the answer from NTA’s final answer key. Where our answers come from.