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Q.

Five identical plates are connected across a battery as follows
If the total charge on plate 1 be $+ q$ , then the charges on the plates 2,3, 4 and 5 are (Initially all the plates are neutral)

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a

$- q, + q, - q, + q$

b

$- 2 q, + 2 q, - 2 q, + q$

c

$- q, + 2 q, - 2 q, + q$

d

$- 2 q, q, - q, + q$

answer is B.

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Detailed Solution

The distribution of charges at various plates is as shown in figure. Form the following we can calculate the ratio by multiplying with 4.
Charge on plate 2 = $- \frac{q}{2}$
Charge on plate 3 = $+ \frac{q}{2}$
Charge on plate 5 = $+ \frac{q}{4}$
Hence $q_{2} : q_{3} : q_{4} : q_{5} = - 2 q, + 2 q, - 2 q, + q$

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Five identical plates are connected across a battery as followsIf the total charge on plate 1 be +q, then the charges on the plates 2,3, 4 and 5 are (Initially all the plates are neutral)