Q66 / 68 · NEST (NISER) 2021 (Session 2) · Physics

Consider a universe with modified electrostatics where like charges attract and unlike charges repel. Three positively charged point particles with same charge to mass ratio $\alpha$ interact with each other through the electrostatic force. Total mass of the system is $M$. The system can move about it's centre of mass with equal distances between all pairs of masses. When the masses are separated by a distance $d$, the angular frequency of the motion about the centre of the mass is

  • A
    proportional to $\sqrt{\alpha}$.
  • Correct answer
    B
    proportional to $1 / d^{3 / 2}$
  • C
    proportional to $M$
  • Correct answer
    D
    proportional to $\sqrt{M}$.

Hence, the correct answer is options: 'B', 'D'.

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