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The resistance of the wire in platinum resistance thermometer at ice point is 3 Ω and at steam point is 9 Ω. When the thermometer is inserted in an unknown hot bath its resistance is found to be 12 Ω. The temperature of the hot bath is
(a) 100° C
(b) 50° C
(c) 75° C
(d) 150° C
The resistance of the wire in platinum resistance thermometer at ice point is 3 Ω and at steam point is 9 Ω. When the thermometer is inserted in an unknown hot bath its resistance is found to be 12 Ω. The temperature of the hot bath is
(a) 100° C
(b) 50° C
(c) 75° C
(d) 150° C
Answer is : (d) 150° C
For resistance thermometers
\(t=\frac{R_t-R_{0^\circ}}{R_{100}-R_{0^\circ}}\times100^\circ\,C\)
\(t=\frac{9}{6}\times100=150^\circ\,C\)