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JEE Main 2019 (10 Apr, Shift 1) · Ohm's Law, Resistivity & Temperature

Ohm's Law, Resistivity & Temperature question from JEE Main 2019 (10 Apr, Shift 1)

Q48JEE Main 2019 · 10 APR · SHIFT 1Medium

Ohm's Law, Resistivity & Temperature

In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line. One may conclude that:

Figure

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Answer: (d)

  1. Graph: ln⁡R\ln R vs 1/T21/T^2 is a straight line with negative slope.
  2. So ln⁡R=ln⁡R0−T02/T2\ln R = \ln R_0 - T_0^2/T^2.
  3. R(T)=R0e−T02/T2R(T) = R_0 e^{-T_0^2/T^2}. The answer is (d).
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