In a certain bimetallic strip, the brass strip is 0.100% longer than the steel strip at a temperature of 311°C. At what temperature do the two strips have the same length? Coefficients of linear expansion for steel a = 12.0 × 1o-6 K-1 and for brass a = 19.0 × 10-6 K-1 (see Table 13.2). Bimetallic strip Brass Steel Cold Room temperature Hot °С

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In a certain bimetallic strip, the brass strip is 0.100% longer than the steel strip at a temperature of 311°C. At what temperature do the two strips have the same length? Coefficients of linear expansion for steel \( \alpha = 12.0 \times 10^{-6} \, \text{K}^{-1} \) and for brass \( \alpha = 19.0 \times 10^{-6} \, \text{K}^{-1} \) (see Table 13.2).

**Diagram Explanation:**

The image shows three stages of a bimetallic strip composed of brass and steel:

- **Cold**: The strip curves to the left, indicating the differential contraction of the two metals when cooled.
- **Room temperature**: The strip is straight, suggesting equilibrium length at this temperature.
- **Hot**: The strip curves to the right, illustrating differential expansion when heated.

The objective is to find the temperature at which both strips have the same length, indicated by a blank space for temperature: \(\boxed{\,}\)°C.
Transcribed Image Text:In a certain bimetallic strip, the brass strip is 0.100% longer than the steel strip at a temperature of 311°C. At what temperature do the two strips have the same length? Coefficients of linear expansion for steel \( \alpha = 12.0 \times 10^{-6} \, \text{K}^{-1} \) and for brass \( \alpha = 19.0 \times 10^{-6} \, \text{K}^{-1} \) (see Table 13.2). **Diagram Explanation:** The image shows three stages of a bimetallic strip composed of brass and steel: - **Cold**: The strip curves to the left, indicating the differential contraction of the two metals when cooled. - **Room temperature**: The strip is straight, suggesting equilibrium length at this temperature. - **Hot**: The strip curves to the right, illustrating differential expansion when heated. The objective is to find the temperature at which both strips have the same length, indicated by a blank space for temperature: \(\boxed{\,}\)°C.
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