# Two Absolute Scales a and B Have Triple Points of Water Defined to Be 200 a and 350 B. What is the Relation Between Ta And Tb - Physics

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

#### Solution 1

Triple point of water on absolute scaleA, 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 xx T_A = (273.15)/350 xx T_B

T_A = 200/350 T_B

Therefore, the ratio TA : Tis given as 4 : 7.

#### Solution 2

As we know, triple point of water on absolute scale = 273.16 K, Size of one degree of kelvin scale on absolute scale A

= 273.16/200

Value of temperature T_A on absolute scale A

= 273.16/200 T_A

Value of temperature T_B on absolute scale B

= 273.16/350 T_B

Since T_A " and  " T_B represent the same temperature

:. 273.16/200T_A = 273.16/350T_B

or  T_A = 200/350T_B = 4/7 T_B

Concept: Measurement of Temperature
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#### APPEARS IN

NCERT Class 11 Physics Textbook
Chapter 11 Thermal Properties of Matter
Q 2 | Page 294