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What is the significance of resistance r...

What is the significance of resistance ratio, `rho_(300 K) // rho_(4.2K)` ?

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Resistance to the flow of electrons decreases the conductivity of metals. Conductivity of metal decreases with increase in temperature. But presence of impurity in metals increases conductivity.
The resistance ratio, at room temperature and at liquid helium temperature, is a measure of the purity of metal.
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What is the significance of resistance ratio, rho_(300k)//rho_(4.2k) ?

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Knowledge Check

  • Two wires of equal diameters of resistivities rho_(1) and rho_(2) and length X_(1) and X_(2) respectively are joined in series. The equivalent resistivity of the combination is

    A
    `(rho_(1)X_(1)+rho_(2)X_(2))/(X_(1)+X_(2))`
    B
    `(rho_(1)X_(2)+rho_(2)X_(1))/(X_(1)-X_(2))`
    C
    `(rho_(1)X_(2)+rho_(2)X_(1))/(X_(1)+X_(2))`
    D
    `(rho_(1)X_(1)+rho_(2)X_(2))/(X_(1)-X_(2))`
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