A faulty thermometer has its fixed points mar | vedclass

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Question

(B) The formula to convert temperature between two scales is given by: $\frac{X - X_{LFP}}{X_{UFP} - X_{LFP}} = \frac{C - C_{LFP}}{C_{UFP} - C_{LFP}}$

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(B) The formula to convert temperature between two scales is given by: $\frac{X - X_{LFP}}{X_{UFP} - X_{LFP}} = \frac{C - C_{LFP}}{C_{UFP} - C_{LFP}}$.Here,the faulty thermometer has a Lower Fixed Point $(X_{LFP})$ of $5^{\circ}$ and an Upper Fixed Point $(X_{UFP})$ of $95^{\circ}$.The Celsius scale has a Lower Fixed Point $(C_{LFP})$ of $0^{\circ}$ and an Upper Fixed Point $(C_{UFP})$ of $100^{\circ}$.Given the reading on the faulty thermometer $X = 59^{\circ}$.Substituting the values: $\frac{59 - 5}{95 - 5} = \frac{C - 0}{100 - 0}$.$\frac{54}{90} = \frac{C}{100}$.$C = \frac{54}{90} 	imes 100 = 0.6 	imes 100 = 60^{\circ}$.

$A$ faulty thermometer has its fixed points marked $5^{\circ}$ and $95^{\circ}$. This thermometer reads the temperature of a body as $59^{\circ}$. Then,the correct temperature of the body on the Celsius scale is ...... $^{\circ}$

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