A) \[1\,\,:\,\,{{n}^{2}}\]
B) \[{{\operatorname{n}}^{2}}\,\,:\,\,1\]
C) \[1\,\,:\,\,1\]
D) None of these
Correct Answer: B
Solution :
Resistance will be maximum when connected in series \[{{R}_{series}}=nR\] Resistance will be minimum when connected in parallel \[\therefore \,\,\,\,\,\,\,\,\frac{1}{{{R}_{parallel}}}=\frac{1}{R}+\frac{1}{R}+\,\,........\,upto\,\,n\] \[\Rightarrow \,\,\,\,\,\,\,\,\,{{R}_{parallel}}\,\,=\,\,\frac{R}{n}\] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\frac{{{R}_{series}}}{{{R}_{parallel}}}\,\,=\,\,\frac{nR}{\frac{R}{n}}=\frac{{{n}^{2}}}{1}\]
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