Question:

If the cold junction of a thermo-couple is kept at $0^{\circ} C$ and the hot junction is kept at $T^{\circ} C$, then the relation between neutral temperature $\left(T_{n}\right)$ and temperature of inversion $\left(T_{i}\right)$ is

Updated On: Jul 5, 2022
  • $T _{ n }=\frac{ T _{i}}{2}$
  • $T _{ n }=2 T _{ i }$
  • $T _{ n }= T _{ i }- T$
  • $T_{n}=T_{i}+T$
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The Correct Option is A

Solution and Explanation

It is found that temperature of inversion $\left(T_{i}\right)$ is as much above the neutral temperature $\left(T_{n}\right)$ as neutral temperature is above the temperature of the cold junction $(T), i e$, $T_{i}-T_{n} =T_{n}-T$ $T_{i} =2 T_{n}-T$ But, here the cold junction is kept at $0^{\circ} C$, hence $T=0$. Thus, $T_{i}=2 T_{n}$ $T_{n}=\frac{T_{i}}{2}$
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Concepts Used:

Thermal Expansion

Thermal expansion is the tendency of matter to change its shape, area, and volume in response to a change in temperature. Temperature is a monotonic function of the average molecular kinetic energy of a substance.

The expansion of the solid material is taken to be the linear expansion coefficient, as the expansion takes place in terms of height, thickness and length. The gaseous and liquid expansion takes the volume expansion coefficient. Normally, if the material is fluid, we can explain the changes in terms of volume change. 

The bonding force among the molecules and atoms differs from material to material. These characteristics of the compounds and elements are known as the expansion coefficient.

thermal expansion