A) 3 A
B) \[3\times \sqrt{\frac{3}{2}}A\]
C) \[3\times {{\left( \frac{3}{2} \right)}^{3/2}}A\]
D) \[3\times \frac{3}{2}A\]
Correct Answer: C
Solution :
Relation for fuse wire is \[{{i}^{2}}\propto {{r}^{3}}\] \[{{\left( \frac{{{i}_{1}}}{{{i}_{2}}} \right)}^{2}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{3}}\] \[{{\left( \frac{3}{{{i}_{2}}} \right)}^{2}}={{\left( \frac{0.4}{0.6} \right)}^{3}}\] \[{{\left( \frac{3}{{{i}_{2}}} \right)}^{2}}={{\left( \frac{2}{3} \right)}^{3/2}}\] \[{{i}_{2}}=3\times {{\left( \frac{3}{2} \right)}^{3/2}}A\]
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