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One end of a metal rod is kept in a furn...

One end of a metal rod is kept in a furnace. In steady state, the temperature of the rod

A

increases

B

decreases

C

remains constant

D

is non uniform.

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The correct Answer is:
To solve the question regarding the temperature distribution along a metal rod with one end in a furnace, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Setup**: - One end of the metal rod is placed in a furnace, which means it is exposed to a high temperature. The other end of the rod is outside the furnace, likely at a lower temperature. 2. **Establishing Steady State**: - In a steady state, the temperature of the rod does not change with time. This means that while heat is being transferred from the hot end (inside the furnace) to the cold end (outside the furnace), the temperature at any given point along the rod remains constant over time. 3. **Temperature Distribution**: - The temperature will not be the same along the length of the rod. The end in the furnace will be at a higher temperature compared to the end that is outside. 4. **Temperature Gradient**: - The temperature gradient (change in temperature with respect to distance) along the rod will be present. Since one end is hot and the other end is cooler, the temperature gradient (dT/dx) will be non-uniform. 5. **Conclusion**: - Since the temperature varies along the length of the rod from the hot end to the cold end, we conclude that the temperature distribution is non-uniform. ### Final Answer: The correct option is that the variation will be non-uniform. ---
To solve the question regarding the temperature distribution along a metal rod with one end in a furnace, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Setup**: - One end of the metal rod is placed in a furnace, which means it is exposed to a high temperature. The other end of the rod is outside the furnace, likely at a lower temperature. 2. **Establishing Steady State**: ...
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