On a temperature scale $X$,the boiling point of water is $65^{\circ} X$ and the freezing point is $-15^{\circ} X$. Assume that the $X$ scale is linear. The equivalent temperature corresponding to $-95^{\circ} X$ on the Fahrenheit scale would be $..........^{\circ} F$.

The resistance of the platinum wire of a platinum resistance thermometer at an ice point is $5 \Omega$ and at steam point is $5.23 \Omega$. When the thermometer is inserted in a hot bath,the resistance of a platinum wire is $5.795 \Omega$. Calculate the temperature of the bath. (in $^{\circ} C$)

$A$ certain liquid has a melting point of $-50^{\circ} C$ and a boiling point of $150^{\circ} C$. $A$ thermometer is designed with this liquid and its melting and boiling points are designated at $0^{\circ} L$ and $100^{\circ} L$. The melting and boiling points of water on this scale are

Write the equation that gives the relation between $t_F$ and $t_C$.

The saturation vapour pressure of water at $100^{\circ}C$ is ........ $mm$ of mercury.

$A$ faulty thermometer has its lower fixed point marked as $-10^\circ C$ and upper fixed point marked as $110^\circ C$. If the temperature of a body shown on this scale is $62^\circ$,the temperature shown on the Celsius scale is ........ $^\circ C$.