The two ends of a metal rod are maintained at temperature 100 and 110

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Two absolute scales A and B have triple points of water defined to be 200 A and 350 B. What is the relation betweenTA and TB?

Triple point of water on absolute scale A, T1 = 200 A

Triple point of water on absolute scale B, T2 = 350 B

Triple point of water on Kelvin scale, TK = 273.15 K

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

           T1 = TK 

      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. 

          T2 = TK 

     350 B = 273.15

∴        B = 273.15/350 

TA is triple point of water on scale A. 

TB is triple point of water on scale B. 

∴         273.15/200 × TA  = 273.15/350 × TB 

Therefore, the ratio TA : TB is given as 4 : 7