Two absolute scale `X` and `Y` have triple points of water defined to be `300 X` and `450 Y`. How are `T_(X)` and `T_(Y)` related to each other ?

Explanation

Here, temperature `300` on absolute scale `Z = 273.16K` (Triple point of water)
` :. X = 273.16K` (Triple point of water)
`:."Value of temperature" T_(X)` on absolute
Scale `X = (273.16)/(300)T_(X)`
Similarly, value of temperature `T_(Y)` on absolute scale
` Y = (273.16)/(450)T_(Y)`
Since both these values are equal,
`(273.16)/(300)T_(X) = (273.16)/(450)T_(Y) :. T_(X) = (2)/(3)T_(Y)`