A) \[m=8,\text{ }n=3\]
B) \[m=6,\text{ }n=4\]
C) \[m=12,\text{ }n=2\]
D) \[m=2,\text{ }n=12\]
Correct Answer: C
Solution :
In mixed grouping the current in the external circuit will be maximum when the internal resistance of the battery is equal to the external resistance, \[R=\frac{mr}{n}\] Given, \[R=3\Omega ,\,\,\,\,\,\,r=0.5\Omega \] \[\therefore \] \[3=\frac{m}{n}\times 0.5\] \[\Rightarrow \] \[\frac{m}{n}=6\] \[\Rightarrow \] \[m=6n\] ?..(i) Total number of cells \[=m\times n=24\] ... (ii) From Eqs. (i) and (ii), we get \[6n\times n=24\] \[\Rightarrow \] \[6{{n}^{2}}=24\] \[\Rightarrow \] \[{{n}^{2}}=4\] \[\Rightarrow \] \[n=2,\,\,\,m=12\]You need to login to perform this action.
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