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Q.

48 cells each of internal resistance 1Ω are arranged in a mixed combination and the combination is connected across a resistor of resistance 3Ω. Number of cells in each row is n and number of rows is m if maximum current flows through the 3Ω resistor, then

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a

m=3,n=6

b

m=4,n=12

c

m=8,n=6

d

m=2,n=24

answer is B.

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Detailed Solution

mn=N ....(1) and for maximum current, mR=Nr ......(2)From (1) and (2), m=NrR=48×13=4 and n=484=12
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48 cells each of internal resistance 1Ω are arranged in a mixed combination and the combination is connected across a resistor of resistance 3Ω. Number of cells in each row is n and number of rows is m if maximum current flows through the 3Ω resistor, then