The temperature of a body on Kelvin scale is ' x ' K . When it is measured by a Fahrenheit thermometer, it is found to be ' x ' ^ F . The value of ' x ' is (nearly)

Step-by-step solution

Find the temperature where Kelvin and Fahrenheit scales give the same numerical reading. Let x represent the common numerical value on both temperature scales. The conversion from Kelvin to Celsius is T_C = T_K - 273.15 . Substituting T_K = x gives: T_C = x - 273.15 The Fahrenheit to Celsius conversion is T_C = 5 9 (T_F - 32) . With T_F = x : T_C = 5 9 (x - 32) Equating both Celsius expressions: x - 273.15 = 5 9 (x - 32) Multiplying through by 9 eliminates the denominator: 9(x - 273.15) = 5(x - 32) Expanding both s