The thermo e.m.f. E in volts of a certain thermo-couple is found to vary with temperature difference θ in °C between the two junctions according to the relation E = 30θ - (θ²)/(15) The neutral temperature for the thermo-couple will be (a) 450 (b) 400 (c) 225 (d) 30

Answer: (c). At neutral temperature (dE)/(dθ) = 0. 30 - (2θ)/(15) = 0 ⇒ θ = 225° C So the answer is (c).

The thermo e.m.f. E in volts of a certain thermo-couple is found to… | NEET 2010 (AIPMT, Mains)

Q60NEET 2010 · AIPMT · MAINSMedium

Electrical Power & Heating Effect

The thermo e.m.f. $E$ in volts of a certain thermo-couple is found to vary with temperature difference $\theta$ in °C between the two junctions according to the relation

$E = 30\theta - \frac{\theta^2}{15}$

The neutral temperature for the thermo-couple will be

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Answer: (c)

At neutral temperature $\frac{dE}{d\theta} = 0$ .
$30 - \frac{2\theta}{15} = 0 \Rightarrow \theta = 225^\circ$ C
So the answer is (c).

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