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NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Thermal Properties of Matter

NEET 2010 · Physics · Thermal Properties of Matter

The thermo emf E in volt of a certain thermo-couple is found to...

The thermo emf EE in volt of a certain thermo-couple is found to vary with temperature difference θ\theta in ∘C{ }^{\circ} \mathrm{C} between the two junctions according to the relation E=30θ−θ215E=30 \theta-\frac{\theta^2}{15} The neutral temperature for the thermo-couple will be

Options

  1. A450∘C450^{\circ} \mathrm{C}
  2. B400∘C400^{\circ} \mathrm{C}
  3. C225∘C225^{\circ} \mathrm{C}
  4. D30∘C30^{\circ} \mathrm{C}

Correct answer

C. 225∘C225^{\circ} \mathrm{C}

Step-by-step solution

Given, E=30θ−θ215\mathrm{E}=30 \theta-\frac{\theta^2}{15} At neutral temperature dEdθ=0∴30−2θ15=0θ=225∘C\begin{aligned} \frac{\mathrm{dE}}{\mathrm{d} \theta} & =0 \\ \therefore \quad 30-\frac{2 \theta}{15} & =0 \\ \theta & =225^{\circ} \mathrm{C} \end{aligned}
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