$100$ cells each of $e.m.f.$ $5\, V$ and internal resistance $1\, ohm$ are to be arranged so as to produce maximum current in a $25\, ohms$ resistance. Each row is to contain equal number of cells. The number of rows should be
Diffcult
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(a)If $m$ $=$ Number of rows
and $n$ $=$ Number of cells in a row
Then $m × n = 100$ .....$(i)$
Also condition of maximum current is $R = \frac{{nr}}{m}$
$==>$ $25 = \frac{{1 \times n}}{m}$
$==>$ $n = 25 m$ .....$(ii)$
On solving $(i)$ and $(ii)$ $m = 2$
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