A) 0.35 m
B) 0.2 m
C) 0.25 m
D) 0.3 m
Correct Answer: C
Solution :
Let AP be the length \[l\] \[\frac{dR}{dl}\propto \frac{1}{\sqrt{l}},dR=K\frac{dl}{\sqrt{l}}\] Taking integration on both the sides \[\int_{{}}^{{}}{dR}=K\int_{{}}^{{}}{\frac{1}{\sqrt{l}}dl}\] \[R=2K{{l}^{1/2}}=2K\] \[(\because l=1m)\] Balancing point will divide the resistance in equal part. So, l will be correspond to \[K(\Omega )\]. \[\therefore \]\[K=2K\sqrt{l}\] or \[l=0.25m\]You need to login to perform this action.
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