The temperature of a body on the Kelvin scale is $x \ K$. When it is measured by a Fahrenheit thermometer,it is found to be $x \ ^{\circ}F$. The value of $x$ is (nearly):

What is the slope of the line $AB$ in the given graph?

$A$ scientist proposes a new temperature scale in which the ice point is $25 X$ ($X$ is the new unit of temperature) and the steam point is $305 X$. The specific heat capacity of water in this new scale is (in $J kg^{-1} X^{-1}$):

The temperature of a body shown by a faulty Celsius thermometer is $49^{\circ} C$ and by a correct Fahrenheit thermometer is $122^{\circ} F$. The correction to be applied to the faulty thermometer is

Maximum density of $H_2O$ is at the temperature

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