The resistance of a thermometer is $100 \Omega$ at the triple point of water $(273 \ K)$ and is $300 \Omega$ at the melting point of gold $(873 \ K)$. The temperature at which the resistance of the thermometer is $200 \Omega$ is: (in $K$)

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

Temperature of water at the surface of a lake is $ -20^{\circ}C$. Then,the temperature of water just below the lower surface of the ice layer is ...... $^{\circ}C$.

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 $..........^{\circ} F$.

If a graph is plotted with Fahrenheit temperature on the $Y$-axis and Celsius temperature on the $X$-axis,the resulting straight line is one that .....

$A$ new temperature scale uses $X$ as a unit of temperature,where the numerical value of the temperature $t_x$ in this scale is related to the absolute temperature $T$ by $t_x = 3T + 100$. If the specific heat of a material using this unit is $1400 \, J \, kg^{-1} X^{-1}$,its specific heat in the $SI$ system of units is: