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100 mg mass of nichrome metal is drawn i...

100 mg mass of nichrome metal is drawn into a wire of area of cross-section 0.05 mm. Calculate the resistance of this wire. Given density of nichrome` 8.4 xx 10^3 "kgm"^(-3)` and resistivity of the material as `1.2 xx 10^(-6) Omega` m.

Text Solution

Verified by Experts

Since `R=rhol/A`…(i)
Density(D)=`"mass(m)"/"volume"="mass (m)"/" length x area (A)"`,length (l)=`m/(AxxD)`
`R=rho m/(AxxD)xxl/A = rhom/(A^2D)`
Substituting the values given , `R=(1.2xx10^(-6)xx100xx10^(-6))/((0.05xx10^(-6))^2 xx 8.4xx10^3) Omega =R=5.71 Omega`
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