The thermo EMF of a thermocouple varies with the temperature $\theta$ of the hot junction as $E=a\theta +b{\theta }^2$ in volt where the ratio $\frac{a}{b}$  is $700 °\mathrm{C}$. If the cold junction is kept at$0 °\mathrm{C}$, then neutral temperature is

The figure shows graph between potential difference $\left(\mathrm{V}\right)$ and current $\left(\mathrm{I}\right)$ of a metallic wire at three different temperature ${\mathrm{T}}_1, {\mathrm{T}}_2$ and ${\mathrm{T}}_3$. Which of them will have the least value of temperature?

$I$ and $V$ are respectively the current and voltage in a metal wire of resistance $R.$ The $I-V$ graph for the two different temperatures $T_1$ and $T_2$ are given, then

In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line.

One may conclude that

The resistance of the platinum wire of a platinum resistance thermometer at the ice point is $5 \mathrm{\Omega }$ and at steam point is $5.23 \mathrm{\Omega }$. When it is inserted in a hot bath, the resistance of the wire is $5.795 \mathrm{\Omega }$. Calculate the temperature of the bath.

The graph between two temperature scales $P$ and $Q$ is shown in the figure. Between upper fixed point and lower fixed point there are $150$ equal divisions of scale $P$ and $100$ divisions on scale $Q$. The relationship for conversion between the two scales is given by :

.