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Q.

The resistance of the platinum wire of a platinum resistance thermometer at the ice point is 5 Ω  and at steam point is 5.23 Ω . When the thermometer is inserted in a hot bath, the resistance of the platinum wire is 5.795 Ω. Calculate the temperature of the bath is nearly.

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a

325C

b

345C

c

385C

d

435C

answer is D.

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Detailed Solution

At steam point 

R100=R0(1+α(100-0))

R100-R0=R0α(100-0)............(1)

In the hot bath 

Rt-R0=R0α(t-0)................(2)

From (1) and (2), 

t=RtR0R100R0×100

On solving 

t=345C

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