A new scale of temperature called TIME is introduced. The reading on the new scale is twice the reading on the new scale is twice the reading on a celsius scale when the temperature of a certain body is 373 K. The reading on a Fahrenheit scale is found to (17/15)th the reading on TIME scale when the temperature of a body is 20^(@)C. Determine the upper fixed point and lower fixed point of the TIME scale.

A new scale of temperature called TIME is introduced. The reading on t

1.	A new scale of temperature called TIME is introduced. The reading on the new scale is twice the reading on the new scale is twice the reading on a celsius scale when the temperature of a certain body is 373 K. The reading on a Fahrenheit scale is found to (17/15)th the reading on TIME scale when the temperature of a body is 20^(@)C. Determine the upper fixed point and lower fixed point of the TIME scale.
Answer» Solution :LET `.^(T)` represent the temperature in TIME SCALE. 373K `=100^(@)C` `U=200.^(T)` `(20-0)/(100)=(F-32)/(180)` `(20)/(100)=(F-32)(180)` `F-32=18xx2` `F=36+32=68^(@)F` Temperature on TIME scale corresponding to `20.^(@)C` `=(68xx15)/(17)=60.^(@)C` `(68-32)/(180)=(60-L)/(200-L)` `(200-L)=300-5L` `4L=100` ltBrgt `L=25.^(@)T` `therefore` The lower fixed point and upper fixed point are `25.^(@)T` and `200.^(@)T`, repspectively.