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Five balls marked a to $e$ are suspended using separate threads. Pairs $(b, c)$ and $(d, e)$ show electrostatic repulsion while pairs $(a, b),(c, e)$ and $(a, e)$ show electrostatic attraction. The ball marked a must be
Negatively charged
Positively charged
Uncharged
Any of the above is possible
Solution
(c)
Draw the diagram of given situation
$b,c$ have same change (repulsion)
$d,e$ have same charge (repulsion)
$a, b$ have opposite charge (attraction)
$c,e$ have opposite charge (attraction)
$a,e$ have opposite charge (attraction)
calculating charge of ' $a$ '
let $a$ is positive
then
$b$ is negative
$c$ is negative
$d$ is negative
$e$ is negative
but $(a, e)$ attract not possible because of having same. Similarly if $a$ is negative then also $e$ will be negative. In both case attraction will not possible in $(a, e)$. Hence ' $a$ ' is. unchanged.