The correct value of $0^{\circ}C$ on the Kelvin scale is ........ $K$.

Calculate the temperature which has the same numerical value on the Celsius and Fahrenheit scales.

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 $^{\circ} C$)

The correct value of $0^{\circ}C$ on the Kelvin scale is ........... $K$.

Check whether the following statements are True or False:
$(a)$ The equation to convert Celsius temperature to Fahrenheit is $t^{\circ}F = \frac{5}{9}t^{\circ}C + 32$.
$(b)$ For an ideal gas,absolute zero temperature is $273.15^{\circ}C$.
$(c)$ The volume of water is maximum at $4^{\circ}C$.
$(d)$ The temperature gradient is negative if a cube block is heated at the cold end and heat transfers to the hot end.

The electrical resistance in ohms of a certain thermometer varies with temperature according to the approximate law:
$R = R_{0} [1 + \alpha (T - T_{0})]$
The resistance is $101.6 \; \Omega$ at the triple-point of water $(273.16 \; K)$,and $165.5 \; \Omega$ at the normal melting point of lead $(600.5 \; K)$. What is the temperature (in $K$) when the resistance is $123.4 \; \Omega$?