Q 11-10-117JEE MainJEE Main 2019 (11 Jan, Shift 2)Easy
A thermometer graduated according to a linear scale reads a value $x_0$ when in contact with boiling water, and $x_0/3$ when in contact with ice. What is the temperature of an object in $^\circ$C, if this thermometer in contact with the object reads $x_0/2$?
Answer: (A) $25$
For a linear scale,
$$\frac{t - 0}{100 - 0} = \frac{x - x_0/3}{x_0 - x_0/3} = \frac{x_0/2 - x_0/3}{2x_0/3} = \frac{x_0/6}{2x_0/3} = \frac14$$
$$t = 25^\circ\text{C}$$
Solution by Sreeraj P, M.Sc Physics