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The n rows each containing m cells in series are joined in parallel. Maximum current is taken from this combination across an external resistance of  3Ω. If the total number of cells used are 24 internal resistance of each cell is 0.5Ω .Then

a
m = 8, n = 3
b
m = 6, n = 4
c
m = 12, n = 2
d
m = 2, n = 12

detailed solution

Correct option is C

n →number of rows m →total no of cells in a row R = 3 Ω , r = 0.5 Ω mn = 24   For maximum current in R R=mrn ⇒3=mn × 0.5 ⇒m = 6n Now use mn=24 ⇒6n2 = 24 ⇒n = 2 , m=12

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