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A platinum resistance thermometer reads ...

A platinum resistance thermometer reads `0^(@)` when its resistance is `80Omega` and `100^(@)` when its resistance is `90Omega`.The temperature at the platinum scale at which the resistance is `86Omega` is `N times10^(@)` .Then the value of `N` is

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A platinum resistance thermometer reads 0^@ when its resistance is 80 Omega and 100^@ when its resistance is 90 Omega . Find the temperature at the platinum scale at which the resistance is 86 Omega .

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The electrical resistance of pure platinum increases linearly with increasing temperature over a small range of temperature . This property is used in a Platinum resistance thermometer. The relation between R_(theta) (Resistance at theta K) and R_(0) (Resistance at theta_(0)K ) is given by R_(theta)=R_(0)[1+a(theta-theta_(0))] , where alpha= temperature coefficient of resistance. Now, if a Platinum resistance thermometer reads 0^(@)C when its resistance is 80Omega and 100^(@)C when its resistance is 90 Omega find the temperature at which its resistance is 86Omega .

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