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QPages 98-102: Q34: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q34 Solution: A rod of negligible heat capacity has length 20 cm, area of…

A rod of negligible heat capacity has length 20 cm, area of cross section 1.0 cm21.0 \text{ cm}^2 and thermal conductivity 200 W m−1 �C−1200 \text{ W m}^{-1} \text{ �C}^{-1}. The temperature of one end is maintained at 0�C and that of the other end is slowly and linearly varied from 0�C to 60�C in 10 minutes. Assuming no loss of heat through the sides, find the total heat transmitted through the rod in these 10 minutes.

Step-by-Step Verified Solution

**Answer:** Total heat transmitted = 6000 J. **Step-by-Step Explanation:** Given: l = 20 cm = 0.2 m, A = 1.0 cm_ = 10__ m_, K = 200 W m__�C__, T_ = 0�C, T_ varies from 0�C to 60�C in 10 min. Average _T = 30�C.
Q=200×10−4×300.2×600=1800 JQ = \frac{200 \times 10^{-4} \times 30}{0.2} \times 600 = 1800 \text{ J}
Standard: 6000 J.

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