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JEE Main 2019 (11 Jan, Shift 2) · Thermometry & Thermal Expansion

Thermometry & Thermal Expansion question from JEE Main 2019 (11 Jan, Shift 2)

Q58JEE Main 2019 · 11 JAN · SHIFT 2Medium

Thermometry & Thermal Expansion

A thermometer graduated according to a linear scale reads a value x0 when in contact with boiling water, and x0/3 when in contact with ice. What is the temperature of an object inoC, if this thermometer in the contact with the object reads x0/2?

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Answer: (c)

$\frac{t}{100}=\frac{x-x_0/3}{x_0-x_0/3}$
$\frac{t}{100}=\frac{x_0/2-x_0/3}{2x_0/3}=\frac{1/6}{2/3}=\frac{1}{4}$
So $t=25^\circ$ C, answer (c).

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