Q 11-10-023NEETJEE MainEAMCET 2013 (Medical)Easy
The temperatures of the two ends A and B of a rod of length $25$ cm and uniform circular cross-section are $100°$C and $0°$C respectively. In the steady state, the temperature at a point $10$ cm from the end B is (ignore heat loss from the curved surface)
Answer: (D) $40°$C
Concept. In the steady state, with no side losses, the temperature falls linearly along a uniform rod.
Step 1. Temperature gradient. $\dfrac{100 - 0}{25} = 4°$C per cm.
Step 2. Temperature at the point. $10$ cm from B (at $0°$C): $0 + 4 \times 10 = 40°$C.
Answer. $40°$C (Option D).
Solution by Sreeraj P, M.Sc Physics