A copper rod and a steel rod are heated. At 0 ∘ C , their lengths are L C and L S . When the rods are heated or cooled, a difference of 5.00 cm is maintained between their lengths. Determine L C

Question

A copper rod and a steel rod are heated. At $0^{\circ} C$ , their lengths are $L_{C}$ and $L_{S}$ . When the rods are heated or cooled, a difference of $5.00 cm$ is maintained between their lengths. Determine $L_{C}$ . Given $α_{C u} = 5 \times 1 0^{- 5}^{\circ} C^{- 1}$ and $α_{S} = 2 \times 1 0^{- 5}^{\circ} C^{- 1}$ .

Options:

Answer:

A

Solution:

$L_{C} α_{C} = L_{S} α_{S}$
so
$5 L_{C} = 2 L_{S}$
$L_{S} - L_{C} = 5 cm$
$1.5 L_{C} = 5$
hence
$L_{C} = 3.33 cm$

TestHub · Accepted Answer

L C ​ α C ​ = L S ​ α S ​ so 5 L C ​ = 2 L S ​ L S ​ − L C ​ = 5 cm 1.5 L C ​ = 5 hence L C ​ = 3.33 cm

Physics - Heat & Thermo Question with Solution | TestHub

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