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# The resistance of a resistance thermometer has values  $2.7\Omega$ and  $3.7\Omega$ at ${0}^{0}C$ and ${100}^{0}C$ respectively. The temperature at which the resistance is $3.1\Omega$  is

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a
300C
b
400C
c
600C
d
700C
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detailed solution

Correct option is B

Rt, R0,  R100, are resistances of wire at t0C,00C,1000C then temperature is t=Rt−R0R100−R0×100 substitute the given values in above equation t=3.1−2.73.7−2.7×100 ⇒t=0.41×100 ⇒t=400C

Similar Questions

The resistance of a platinum-resistance thermometer is found to be 11.00 $\mathrm{\Omega }$ ,when dipped in a triple point cell. When it is dipped in a bath the resistance is found to be 28.887 W ? Find the temperature of bath in °C on platinum scale.

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