Two charge \( q \) and \( -3 q \) are placed fixed on \( x \)-axis separated by a distance d . W...

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Two charge \( q \) and \( -3 q \) are placed fixed on \( x \)-axis separated by a distance d . Where should a third charge \( 2 q \) be placed such that it will not experience any force?
a. \( \frac{\mathrm{d}}{2}(1+\sqrt{3}) \) to the left of \( \mathrm{q} \)
b. \( \frac{\mathrm{d}}{2}(1+\sqrt{3}) \) to the right of \( \mathrm{q} \)
c. \( \frac{\mathrm{d}}{2}(1+\sqrt{5}) \) to the left of \( \mathrm{q} \)
d. \( \frac{\mathrm{d}}{2}(1+\sqrt{5}) \) to the right of \( \mathrm{q} \)
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