PHYSICS

JAMB 2022 - Question 2

Physics 2022 JAMB Past Questions - Question 2: The ice and steam points of a thermometer are 20mm and 100mm respectively. A temperature of 75 degree celsius corresponds to Y mm on the thermometer. What is Y?

Choose the correct answers from the options given.
The ice and steam points of a thermometer are 20mm and 100mm respectively. A temperature of 75 degree celsius corresponds to Y mm on the thermometer. What is Y?
A:
B:
C:
D:
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Correct Answer

C

Explanation

To find the position Y on the thermometer corresponding to 75 degrees Celsius, we can use the concept of linear interpolation.

First, we need to find the total length of the thermometer scale, which is 100mm - 20mm = 80mm.

Next, we can calculate the distance from the ice point to the position corresponding to 75 degrees Celsius:

\( \frac{75 - 0}{100 - 0} \times 80 + 20 = \frac{3}{4} \times 80 + 20 = 60 + 20 = 80 \)

So, the position Y on the thermometer corresponding to 75 degrees Celsius is 80mm.