A Kelvin thermometer and a Fahrenheit thermometer both give the same reading for a certain sample. What would be the corresponding reading in a Celsius thermometer ?

To find the temperature where Kelvin (K) and Fahrenheit (F) scales are equal, we set K = F in the conversion formula: F = (K - 273.15) × 9/5 + 32. Substituting K for F, we get K = (K - 273.15) × 1.8 + 32. Solving this equation: K = 1.8K - 491.67 + 32, which simplifies to 0.8K = 459.67, resulting in K ≈ 574.59. This value represents the point where both thermometers show the same numerical reading. To find the corresponding Celsius (C) reading, we use the formula C = K - 273.15. Substituting the value, C = 574.59 - 273.15, which equals 301.44. Rounding to the nearest whole number provided in the options, the Celsius reading is 301.