Two objects are maintained at constant temperatures, one hot and one cold. Two identical bars can be attached end to end, as in part a of the drawing, or one on top of the other, as in part b. When either of these arrangements is placed between the hot and the cold objects for the same amount of time, heat Q flows from left to right. Find the ratio Qa/Qb. (a) Qa/Qb= Number i Units (b)

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Chapter1: Units, Trigonometry. And Vectors
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### Heat Flow and Bar Arrangements

**Problem Statement:**

Two objects are kept at constant temperatures, one hot and one cold. Two identical bars can be attached in two configurations:

- **Configuration (a):** End-to-end attachment.
- **Configuration (b):** Stacked one on top of the other.

When either arrangement is placed between the hot and the cold objects for the same duration, heat \( Q \) flows from left to right. Determine the ratio \( \frac{Q_a}{Q_b} \).

**Diagrams:**
- **Diagram (a):** Represents two bars aligned side by side, forming a longer, thin configuration.
- **Diagram (b):** Represents two bars stacked vertically, forming a shorter, thicker configuration.

**Objective:**

Calculate the heat flow ratio \( \frac{Q_a}{Q_b} \) for the two arrangements.

**Input Box:**

- **\( \frac{Q_a}{Q_b} = \)** [Number] [Units] (Fill in the calculated ratio and select appropriate units if applicable.)
Transcribed Image Text:### Heat Flow and Bar Arrangements **Problem Statement:** Two objects are kept at constant temperatures, one hot and one cold. Two identical bars can be attached in two configurations: - **Configuration (a):** End-to-end attachment. - **Configuration (b):** Stacked one on top of the other. When either arrangement is placed between the hot and the cold objects for the same duration, heat \( Q \) flows from left to right. Determine the ratio \( \frac{Q_a}{Q_b} \). **Diagrams:** - **Diagram (a):** Represents two bars aligned side by side, forming a longer, thin configuration. - **Diagram (b):** Represents two bars stacked vertically, forming a shorter, thicker configuration. **Objective:** Calculate the heat flow ratio \( \frac{Q_a}{Q_b} \) for the two arrangements. **Input Box:** - **\( \frac{Q_a}{Q_b} = \)** [Number] [Units] (Fill in the calculated ratio and select appropriate units if applicable.)
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