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Q.

There are 48 cells, each of emf 2V and internal resistance 1 Ω. For maximum current through an external resistance of 3 Ω, they should be connected as:

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a

12 cells in series, 4 such groups in parallel

b

24 cells in series, 2 such groups in parallel 

c

8 cells in series, 6 such groups in parallel

d

16 cells in series, 3 such groups in parallel 

answer is B.

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Detailed Solution

Let us connect m cells in series and n such groups in parallel, where mn = 48. 

Current in the mixed grouping 

I=mEmrn+R for maximum current mrn=R mn=Rr=31 Solving, we get m=12 and n=4

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