This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the fixed points and their corresponding temperatures. The fixed points of a liquid-in-glass thermometer are typically the ice point (freezing point of water) and the steam point (boiling point of water). • Ice point: 0^ or 32^ • Steam point: 100^ or 212^ Step 2: Determine the temperature in Celsius using the given lengths. The total length between the fixed points (ice point to steam point) is 20 cm. This corresponds to a temperature range of 100^ - 0^ = 100^. The mercury level is 4.5 cm above the lower mark (ice point). We can use the linear relationship between length and temperature: T_C - T_iceT_steam - T_ice = L_x - L_iceL_steam - L_ice Where T_C is the temperature in Celsius, L_x is the mercury level, L_ice is the length at the ice point, and L_steam is the length at the steam point. T_C - 0^100^ - 0^ = 4.5 cm20 cm (T_C)/(100^) = (4.5)/(20) T_C = (4.5)/(20) × 100^ T_C = 0.225 × 100^ T_C = 22.5^ Step 3: Convert the Celsius temperature to Fahrenheit. The formula to convert Celsius to Fahrenheit is: T_F = (9)/(5) T_C + 32 Substitute the calculated Celsius temperature: T_F = (9)/(5) (22.5^) + 32 T_F = 9 × 4.5 + 32 T_F = 40.5 + 32 T_F = 72.5^ The temperature on the Fahrenheit scale is 72.5^. Send me the next one 📸