An isolated solid metallic sphere is given $ + Q$ charge. The charge will be distributed on the sphere

  • A

    Uniformly but only on surface

  • B

    Only on surface but non-uniformly

  • C

    Uniformly inside the volume

  • D

    Non-uniformly inside the volume

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Four charge $Q _1, Q _2, Q _3$, and $Q _4$, of same magnitude are fixed along the $x$ axis at $x =-2 a - a ,+ a$ and $+2 a$, respectively. A positive charge $q$ is placed on the positive $y$ axis at a distance $b > 0$. Four options of the signs of these charges are given in List-$I$ . The direction of the forces on the charge q is given in List-$II$ Match List-$1$ with List-$II$ and select the correct answer using the code given below the lists.$Image$

List-$I$ List-$II$
$P.$ $\quad Q _1, Q _2, Q _3, Q _4$, all positive $1.\quad$ $+ x$
$Q.$ $\quad Q_1, Q_2$ positive $Q_3, Q_4$ negative $2.\quad$ $-x$
$R.$ $\quad Q_1, Q_4$ positive $Q_2, Q_3$ negative $3.\quad$ $+ y$
$S.$ $\quad Q_1, Q_3$ positive $Q_2, Q_4$ negative $4.\quad$ $-y$

  • [IIT 2014]