At certain temperature, rod A and rod B of different materials have lengths LA and LB respectively. Their co-efficients of linear expansion are αA and αB respectively. It is observed that the difference between their lengths remain 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 (16 May, Shift 2)

Q25MHT CET 2024 · 16 MAY · SHIFT 2Medium

Thermometry & Thermal Expansion

At certain temperature, $\text{rod A}$ and $\text{rod B}$ of different materials have lengths $\text{L}_{\text{A}}$ and $\text{L}_B$ respectively. Their co-efficients of linear expansion are $\alpha_A$ and $\alpha_B$ respectively. It is observed that the difference between their lengths remain constant at all temperatures. The ratio $L_A/L_B$ 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 (16 May, Shift 2)

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