### Q.2:- Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation between *T*_{A} and *T*_{B}?

**Answer:-**

Triple point of water on absolute scaleA, *T*_{1} = 200 A

Triple point of water on absolute scale B, *T*_{2} = 350 B

Triple point of water on Kelvin scale,* T*_{K} = 273.15 K

The temperature 273.15 K on Kelvin scale is equivalent to 200 A on absolute scale A.

*T*_{1} = *T*_{K}

200 A = 273.15 K

∴ A = 273.15/200

The temperature 273.15 K on Kelvin scale is equivalent to 350 B on absolute scale B.

*T*_{2} = *T*_{K}

350 B = 273.15

∴ B = 273.15/350

*T*_{A} is triple point of water on scale A.

*T*_{B} is triple point of water on scale B.

∴ 273.15/200 × *T*_{A } = 273.15/350 × *T*_{B}

Therefore, the ratio *T*_{A} : *T*_{B }is given as 4 : 7.