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Electrostatics question

2018 · 15 Apr · Shift 1 · Q61
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Electrostatics question

2018 · 15 Apr · Shift 1 · Q61

JEE MainPhysicsElectrostaticsMCQ+4 / −1
A body of mass MMM and charge qqq is connected to spring of spring constant k.k.k. It is oscillating along xxx-direction about its equilibrium position, taken to be at x=0,x=0,x=0, with an amplitude AAA. An electric field EEE is applied along the xxx-direction. Which of the following statements is correct ?
  1. A
    The new equilibrium position is at a distance qE2k{{qE} \over {2k}}2kqE​ from x=0.x=0.x=0.
  2. B
    The total energy of the system is 12mω2A2+12q2E2k.{1 \over 2}m{\omega ^2}{A^2} + {1 \over 2}{{{q^2}{E^2}} \over k}.21​mω2A2+21​kq2E2​.
  3. C
    The total energy of the system is 12mω2A2−12q2E2k.{1 \over 2}m{\omega ^2}{A^2} - {1 \over 2}{{{q^2}{E^2}} \over k}.21​mω2A2−21​kq2E2​.
  4. D
    The new equilibrium position is at a distance 2qEk{{2qE} \over k}k2qE​ from x=0.x=0.x=0.
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