A faulty thermometer has its fixed points marked 2o and 112o.This thermometer reads the temperature of a body as 57o. Then the correct temperature of the body on Celsius scale
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This thermometer reads the temperature of a body as 59o. Then the correct temperature on Celsius scale
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On the Celsius system, the correct body temperature is C=50⁰C.
Explanation:
Let θ₀ be the malfunctioning thermometer's lower fixed point, and 'n' be the number of divisions between its lower and upper fixed points. If a temperature C on the Celsius scale equates to a temperature on a malfunctioning thermometer's scale, then
C/100=θ-θ₀/n
Here, θ₀=2 degree
n=112-2=110 degree
θ=57 degree
Therefore, the equation becomes C/100=(57-2)/(112-2)
C=50⁰C
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