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The resistance of pure platinum increases linearly with temperature. we can use this property to measure the temperature of different bodies relative to the scale. if we scale the thermometer such that a resistance of 80 ohms denotes 0•c and 90 ohm denotes 100•c what temperature will a resistance of 86 ohm denote

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\\R=R_0(1+\alpha\Delta T)\\\text{given }R_0=80,\ R=100\\90=80(1+\alpha100)\\\\\alpha=\frac{1}{800}\\\text{case 2 }\\\\R=R_0(1+\alpha\Delta T)\\\\86=80(1+\frac{1}{800}(T-0))\\\\T=60

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