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A body of mass M and charge q is connected to a spring of spring constant k. It is oscillating along xdirection about its equilibrium position, taken to be at x = 0, with an amplitude A. An electric field E is applied along the x-direction. Which of the following statements is correct? 
  • a)
    The new equilibrium position is at a distance 2qE/K from x = 0
  • b)
    The new equilibrium position is at a distance qE/2K from x = 0
  • c)
    The total energy of the system is 1/2 mω2A2 − 
  • d)
    The total energy of the system is 1/2 mω2A2 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A body of mass M and charge q is connected to a spring of spring const...
Energy at the extreme 
= 1/2 kA2 = T. E
After switching on electric field 
New mean position ⟹ kxo = qE 
xo = qE/k
So entreme position also shifts by qE/k

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A body of mass M and charge q is connected to a spring of spring constant k. It is oscillating along xdirection about its equilibrium position, taken to be at x = 0, with an amplitude A. An electric field E is applied along the x-direction. Which of the following statements is correct?a)The new equilibrium position is at a distance 2qE/Kfrom x = 0b)The new equilibrium position is at a distance qE/2Kfrom x = 0c)The total energy of the system is 1/2mω2A2 −d)The total energy of the system is 1/2mω2A2 +Correct answer is option 'D'. Can you explain this answer?
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