A body of mass $M$ and charge $q$ is connected to a spring of spring constant $k$. It is oscillating along $x-$ direction 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 body of mass $M$ and charge $q$ is connected to a spring of spring constant $k$. It is oscillating along $x-$ direction 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?
- [JEE MAIN 2018]
- A
The total energy of the system is $\frac{1}{2}m{\omega ^2}{A^2} + \frac{1}{2}\frac{{{q^2}{E^2}}}{k}$
- B
The new equilibrium position is at a distance: $\frac{{2qE}}{k}$ from $x = 0$
- C
The new equilibrium position is at a distance: $\frac{{qE}}{{2k}}$ from $x = 0$
- D
The total energy of the system is $\frac{1}{2}m{\omega ^2}{A^2} - \frac{1}{2}\frac{{{q^2}{E^2}}}{k}$
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