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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)

Q60JEE Main 2019 · 11 JAN · SHIFT 2Medium

Thermometry & Thermal Expansion

Two rods A and B of identical dimensions are at temperature 30°C. If A is heated upto 180oC and B upto ToC, then the new lengths are the same. If the ratio of the coefficients of linear expansion of A and B is 4: 3, then the value of T is

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Answer: (c)

Same initial length and same final length means equal expansion: $\alpha_A (180-30) = \alpha_B (T-30)$ .
$T - 30 = 150 \times \dfrac{4}{3} = 200$
So $T = 230^\circ\text{C}$ , answer (c).

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