The Fahrenheit and Kelvin scales of temperature will have the same reading at a temperature of (in $^{\circ} F$)

$A$ constant pressure air thermometer gave a reading of $47.5$ units of volume when immersed in ice cold water, and $67$ units in a boiling liquid. The boiling point of the liquid will be .......... $^\circ C$.

What is the difference between $^oC$ and $^oF$ thermometer values for freezing and boiling points of water?

At what temperature is the density of water maximum? Provide the value in $^\circ C$, $^\circ F$, and $K$.

Assertion $(A)$: Rapidly changing temperatures can be measured by thermocouples.
Reason $(R)$: The thermal capacity of the junction of a thermocouple is very small.

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 $^{\circ} C$)