A) m = 8, n = 3
B) m = 6, n = 4
C) m = 12, n = 2
D) m = 2, 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, \[R=3\,\Omega ,\text{ }r=0.5\,\Omega \] \[\therefore \] \[3=\frac{m}{n}\times 0.5\] \[\Rightarrow \] \[\frac{m}{n}=6\] \[\Rightarrow \] \[m=6n\] ... (i) Total number of cells \[=m\times n=24\] ... (ii) From Eqs. (i) and (ii), we get \[6n\times n=24\] \[\Rightarrow \] \[6{{n}^{2}}=24\] \[\Rightarrow \] \[{{n}^{2}}=4\] \[\Rightarrow \] \[n=2,\text{ }m=12\]You need to login to perform this action.
You will be redirected in
3 sec