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The wire of a platinum resistance thermometer has d ...

The wire of a platinum resistance thermometer has d resistance of 3.5Ω at 0 °C and 10.52Ω at 100°C. Calculate the temperature of the wire when its resistance is 7.5Ω.

A.

78 °C

B.

25 oC

C.

30oC

D.

57 oC

Correct answer is D

Using the formula 

t = RR0R(100)R0×100oC

t = 7.53.510.52..5×100oC

= 47×100

= 57.14o

~ 57oC