Three charges are placed as shown in figure. The magnitude of $q_1$ is $2.00\, \mu C$, but its sign and the value of the charge $q_2$ are not known. Charge $q_3$ is $+4.00\, \mu C$, and the net force on $q_3$ is entirely in the negative $x-$ direction. The magnitude of $q_2$ is
Three charges are placed as shown in figure. The magnitude of $q_1$ is $2.00\, \mu C$, but its sign and the value of the charge $q_2$ are not known. Charge $q_3$ is $+4.00\, \mu C$, and the net force on $q_3$ is entirely in the negative $x-$ direction. The magnitude of $q_2$ is
- A
$\frac{{27}}{{64}}\,\mu C$
- B
$\frac{{27}}{{32}}\,\mu C$
- C
$\frac{{13}}{{32}}\,\mu C$
- D
$\frac{{13}}{{64}}\,\mu C$
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- [JEE MAIN 2021]