Two Absolute scales X and Y
Question :- Two absolute scales X and Y assigned numerical values 200 and 450 to the triple point of water. What is the relation between and ?
(A) 9Tx = 4TY
(B) 4Tx = 9TY
(C) Tx = 3TY
(D) None of these
We are going to use the formula,
Here both X and Y are unknown scales, so the above formula becomes
Here TU = Upper Fixed Point (U.F.P.) [boiling point of water] &
TL = Lower Fixed Point (L.F.P.) [melting point of ice]
We know the triple point of water on Kelvin scale,
A.T.Q., triple point of water on absolute scale X,
Similarly for scale Y,
Using equation (1)
∴ Correct option is (A)
Note :- For more details about the formula used, read Temperature Scales.