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JEE PHYSICS MCQ: CURRENT ELECTRICITY

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A fuse wire of circuit cross-section and having diameter of 0.4  mm\mathrm{0}\mathrm{.4}\,\,\mathrm{mm}, allows 3  A\mathrm{3}\,\,\mathrm{A} of current to pass through it. But if another fuse wire of same material and circular cross-section and having diameter of 0.6  mm\mathrm{0}\mathrm{.6}\,\,\mathrm{mm} is taken, then the amount of current passed through the fuse is
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Correct option: C
3×(  32)3/2  A3 \times {\left( {\;\frac{3}{2}} \right)^{3/2}}\;\mathrm{A}
Option C (3×(  32)3/2  A3 \times {\left( {\;\frac{3}{2}} \right)^{3/2}}\;\mathrm{A}) is correct because the current carrying capacity of a fuse wire is proportional to the 3/2 power of its radius.

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