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Which expression gives resistivity \(\rho_T\) at temperature \(T\) in terms of resistivity \(\rho_0\) at reference temperature \(T_0\)?

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Question

Which expression gives resistivity \(\rho_T\) at temperature \(T\) in terms of resistivity \(\rho_0\) at reference temperature \(T_0\)?

Options

  • \[\rho_T=\rho_0\alpha(T-T_0)\]

  • \[\rho_T=\rho_0[1-\alpha(T+T_0)]\]

  • \[\rho_T=\rho_0[1+\alpha(T-T_0)]\]

  • \[\rho_T=\rho_0+\alpha(T+T_0)\]

MCQ
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Solution

The linear relation is \(\rho_T=\rho_0[1+\alpha(T-T_0)]\). Here, \(\rho_T\) is resistivity at temperature \(T\), and \(\rho_0\) is resistivity at reference temperature \(T_0\).

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