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QPages 98-102: Q11: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q11 Solution: The ends of a metre stick are maintained at 100�C and 0�C. One…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently misassign the temperature difference or distance in the heat current equation, leading to an inverted ratio. Ensure the numerator corresponds to the temperature drop across the specific segment and the denominator to the length of that same segment, maintaining consistent directionality from hot to cold.

The ends of a metre stick are maintained at 100�C and 0�C. One end of a rod is maintained at 25�C. Where should its other end be touched on the metre stick so that there is no heat current in the rod in steady state?

Step-by-Step Verified Solution

**Answer:** Should be touched at 75 cm from the 100�C end. **Step-by-Step Explanation:** For no heat current through the rod, its other end must be at 25�C (same as one end). Let this point be at distance x from 100�C end. Heat current through AC = Heat current through CB:
(100−25)x=(25−0)100−x\frac{(100-25)}{x} = \frac{(25-0)}{100-x}
75x=25100−x\frac{75}{x} = \frac{25}{100-x}
75(100−x)=25x75(100-x) = 25x
7500−75x=25x⇒x=75 cm7500 - 75x = 25x \Rightarrow x = 75 \text{ cm}
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