A two point charges $4 q$ and $-q$ are fixed on the $x-$axis at $x=-\frac{d}{2}$ and $x=\frac{d}{2},$ respectively. If a third point charge $'q'$ is taken from the origin to $x = d$ along the semicircle as shown in the figure, the energy of the charge will
A two point charges $4 q$ and $-q$ are fixed on the $x-$axis at $x=-\frac{d}{2}$ and $x=\frac{d}{2},$ respectively. If a third point charge $'q'$ is taken from the origin to $x = d$ along the semicircle as shown in the figure, the energy of the charge will
- [JEE MAIN 2020]
- A
increase by $\frac{2 q^{2}}{3 \pi \varepsilon_{0} d }$
- B
increase by $\frac{3 q^{2}}{4 \pi \varepsilon_{0} d }$
- C
decrease by $\frac{4 q^{2}}{3 \pi \varepsilon_{0} d }$
- D
decrease by $\frac{q^{2}}{4 \pi \varepsilon_{0} d }$
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