A temperature scale has a lower fixed point of 40mm and upper fixed point of 200mm. What is the reading on this scale when a thermometer reads 60⁰c
To convert the temperature from Celsius to the scale with a lower fixed point of 40mm and upper fixed point of 200mm, we must first calculate the range of the scale:
Range = Upper fixed point - Lower fixed point
Range = 200mm - 40mm
Range = 160mm
Next, we need to calculate the equivalent temperature in mm based on the given temperature:
Temperature in mm = (Temperature in Celsius - Lower fixed point) / (Range) * 100
Temperature in mm = (60⁰C - 40⁰C) / 160⁰C * 100
Temperature in mm = 20⁰C / 160⁰C * 100
Temperature in mm = 0.125 * 100
Temperature in mm = 12.5mm
Therefore, when a thermometer reads 60⁰C, the reading on the scale with a lower fixed point of 40mm and upper fixed point of 200mm would be 12.5mm.