At certain temperature, rod A and rod B of different materials have lengths LA and LB respectively. Their coefficients of linear expansion are αA and αB respectively. It is observed that the difference between their lengths remains constant at all temperatures. The ratio LA: LB is given by (a) (αA)/(αB) (b) (αB)/(αA) (c) (αA + αB)/(αA) (d) (αA + αB)/(αB)

Answer: (b). Difference constant means LAαAΔ T=LBαBΔ T. (LA)/(LB)=(αB)/(αA) So the answer is (b).

At certain temperature, rod A and rod B of different materials have… | MHT CET 2024 (9 May, Shift 1)

Q27MHT CET 2024 · 9 MAY · SHIFT 1Medium

Thermometry & Thermal Expansion

At certain temperature, $\text{rod A}$ and $\text{rod B}$ of different materials have lengths $\text{L}_{\text{A}}$ and $\text{L}_{\text{B}}$ respectively. Their coefficients of linear expansion are $\alpha_A$ and $\alpha_B$ respectively. It is observed that the difference between their lengths remains constant at all temperatures. The ratio $\text{L}_{\text{A}} : \text{L}_{\text{B}}$ is given by

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Answer: (b)

Difference constant means $L_A\alpha_A\Delta T=L_B\alpha_B\Delta T$ .
$\frac{L_A}{L_B}=\frac{\alpha_B}{\alpha_A}$
So the answer is (b).

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Thermometry & Thermal Expansion question from MHT CET 2024 (9 May, Shift 1)

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