Two identical spheres of mass are released from rest at the negative plate of a…

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Two identical spheres of mass mm are released from rest at the negative plate of a parallel-plate capacitor and accelerate toward the positive plate through the same potential difference ΔV\Delta V. Sphere A carries charge +q+q, and sphere B carries charge +2q+2q. Ignore gravity and edge effects. Which statement describes the speeds of the spheres just before they reach the positive plate? (a) Sphere B is faster; vB=2 vAv_B = 2\,v_A (b) Both spheres reach the plate with the same speed, vB=vAv_B = v_A (c) Sphere B is faster by a factor of 2\sqrt{2}; vB=2 vAv_B = \sqrt{2}\,v_A (d) Sphere A is faster than sphere B, vA>vBv_A > v_B

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