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Q.

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 resistance. If the total number of cells used are 24 and internal resistance of each cell is 0.5Ω then

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a

m = 12, n = 2 

b

m = 2, n = 12

c

m = 8, n = 3 

d

m = 6, n = 4

answer is C.

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Detailed Solution

Total cells = m x n = 24 (i)
For maximum current in the circuit  R=mrn
⇒3=mn×(0.5)⇒m=6n    (ii)
On solving Eqs. (i) and (ii), we get m = 12, n = 2

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