TG EAMCET 4 May 2025 Shift 1 Paper

The faulty thermometer shows $49^{\circ}\text{C}$.To compare, let's first change $49^{\circ}\text{C}$ to Fahrenheit using the formula: $F= \left(\frac{9}{5} \times C\right) +32$So, $F= \left(\frac{9}{5} \times 49\right) +32=88.2+32=120.2^{\circ}\text{F}$The correct Fahrenheit thermometer shows $122^{\circ}\text{F}$.The difference between the correct value and the faulty value is called the error: $122-120.2=1.8^{\circ}\text{F}$.We need to find out what this error in Fahrenheit means in Celsius.Use the formula: $F=\frac{9}{5} C+32$. For a difference or correction, we use only the change part: $\Delta F = \frac{9}{5} \Delta C$.That means $\Delta C = \Delta F \times \frac{5}{9}$.So, substitute the error: $\Delta C = 1.8 \times \frac{5}{9} = 1^{\circ}\text{C}$The faulty thermometer is $1^{\circ}\text{C}$ lower than it should be, so $+1^{\circ}\text{C}$ should be added to its readings.