A fuse wire with radius ${\rm{1}}\,\,{\rm{mm}}$ blows at ${\rm{1}}{\rm{.5 }}\,{\rm{A}}$. The radius of the fuse wire of the same material to blow at ${\rm{3 }}\,{\rm{A}}$ will be

JEE PHYSICS MCQ: CURRENT ELECTRICITY

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Application +4 | -1

A fuse wire with radius

\mathrm{1}\,\,\mathrm{mm}

blows at

\mathrm{1}\mathrm{.5 }\,\mathrm{A}

. The radius of the fuse wire of the same material to blow at

\mathrm{3 }\,\mathrm{A}

will be

View answer and explanation

Correct option: B

{4^{1/3}}\,\,\mathrm{mm}

Option B (

{4^{1/3}}\,\,\mathrm{mm}

) is correct because the current at which the fuse blows is proportional to the radius raised to the power of 3/2.

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\mathrm{\rho }

3\,\,{\mathrm{m}^3}

3\,\,\mathrm{\Omega }

4.7\,\, \times \,\,{10^6}\,\,\mathrm{\Omega }\,\, \pm \,\,5\,\,\%

22.5\,cm